Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 176.20 | ||
Character | \(\chi\) | \(=\) | 819.176 |
Dual form | 819.2.ew.a.470.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25977 | + | 1.25977i | −0.890794 | + | 0.890794i | −0.994598 | − | 0.103804i | \(-0.966899\pi\) |
0.103804 | + | 0.994598i | \(0.466899\pi\) | |||||||
\(3\) | −0.923456 | + | 1.46534i | −0.533158 | + | 0.846016i | ||||
\(4\) | − | 1.17405i | − | 0.587027i | ||||||
\(5\) | −0.838983 | − | 3.13113i | −0.375205 | − | 1.40028i | −0.853045 | − | 0.521837i | \(-0.825247\pi\) |
0.477841 | − | 0.878447i | \(-0.341420\pi\) | |||||||
\(6\) | −0.682653 | − | 3.00934i | −0.278692 | − | 1.22856i | ||||
\(7\) | 0.258819 | + | 0.965926i | 0.0978244 | + | 0.365086i | ||||
\(8\) | −1.04050 | − | 1.04050i | −0.367874 | − | 0.367874i | ||||
\(9\) | −1.29446 | − | 2.70636i | −0.431486 | − | 0.902120i | ||||
\(10\) | 5.00144 | + | 2.88758i | 1.58159 | + | 0.913134i | ||||
\(11\) | 3.99483 | + | 3.99483i | 1.20449 | + | 1.20449i | 0.972787 | + | 0.231700i | \(0.0744289\pi\) |
0.231700 | + | 0.972787i | \(0.425571\pi\) | |||||||
\(12\) | 1.72039 | + | 1.08419i | 0.496634 | + | 0.312978i | ||||
\(13\) | 1.66401 | + | 3.19860i | 0.461514 | + | 0.887133i | ||||
\(14\) | −1.54290 | − | 0.890794i | −0.412357 | − | 0.238075i | ||||
\(15\) | 5.36294 | + | 1.66206i | 1.38471 | + | 0.429143i | ||||
\(16\) | 4.96971 | 1.24243 | ||||||||
\(17\) | −0.651721 | − | 1.12881i | −0.158066 | − | 0.273778i | 0.776105 | − | 0.630603i | \(-0.217192\pi\) |
−0.934171 | + | 0.356826i | \(0.883859\pi\) | |||||||
\(18\) | 5.04012 | + | 1.77868i | 1.18797 | + | 0.419238i | ||||
\(19\) | −0.742507 | + | 2.77107i | −0.170343 | + | 0.635728i | 0.826955 | + | 0.562268i | \(0.190071\pi\) |
−0.997298 | + | 0.0734603i | \(0.976596\pi\) | |||||||
\(20\) | −3.67611 | + | 0.985012i | −0.822004 | + | 0.220255i | ||||
\(21\) | −1.65442 | − | 0.512732i | −0.361024 | − | 0.111887i | ||||
\(22\) | −10.0652 | −2.14590 | ||||||||
\(23\) | −3.37818 | − | 5.85118i | −0.704399 | − | 1.22006i | −0.966908 | − | 0.255125i | \(-0.917883\pi\) |
0.262509 | − | 0.964930i | \(-0.415450\pi\) | |||||||
\(24\) | 2.48555 | − | 0.563835i | 0.507362 | − | 0.115092i | ||||
\(25\) | −4.76995 | + | 2.75393i | −0.953989 | + | 0.550786i | ||||
\(26\) | −6.12579 | − | 1.93323i | −1.20137 | − | 0.379138i | ||||
\(27\) | 5.16112 | + | 0.602383i | 0.993258 | + | 0.115929i | ||||
\(28\) | 1.13405 | − | 0.303868i | 0.214315 | − | 0.0574256i | ||||
\(29\) | 7.68525i | 1.42712i | 0.700596 | + | 0.713558i | \(0.252917\pi\) | ||||
−0.700596 | + | 0.713558i | \(0.747083\pi\) | |||||||
\(30\) | −8.84991 | + | 4.66226i | −1.61576 | + | 0.851209i | ||||
\(31\) | −8.69883 | + | 2.33084i | −1.56236 | + | 0.418632i | −0.933408 | − | 0.358816i | \(-0.883180\pi\) |
−0.628947 | + | 0.777448i | \(0.716514\pi\) | |||||||
\(32\) | −4.17969 | + | 4.17969i | −0.738872 | + | 0.738872i | ||||
\(33\) | −9.54285 | + | 2.16474i | −1.66120 | + | 0.376834i | ||||
\(34\) | 2.24307 | + | 0.601029i | 0.384683 | + | 0.103076i | ||||
\(35\) | 2.80729 | − | 1.62079i | 0.474519 | − | 0.273964i | ||||
\(36\) | −3.17741 | + | 1.51976i | −0.529569 | + | 0.253294i | ||||
\(37\) | 0.517626 | + | 1.93181i | 0.0850972 | + | 0.317587i | 0.995333 | − | 0.0965042i | \(-0.0307661\pi\) |
−0.910235 | + | 0.414091i | \(0.864099\pi\) | |||||||
\(38\) | −2.55553 | − | 4.42631i | −0.414562 | − | 0.718043i | ||||
\(39\) | −6.22369 | − | 0.515419i | −0.996588 | − | 0.0825332i | ||||
\(40\) | −2.38499 | + | 4.13092i | −0.377099 | + | 0.653155i | ||||
\(41\) | 0.899424 | + | 0.241000i | 0.140466 | + | 0.0376378i | 0.328367 | − | 0.944550i | \(-0.393502\pi\) |
−0.187901 | + | 0.982188i | \(0.560168\pi\) | |||||||
\(42\) | 2.73012 | − | 1.43827i | 0.421266 | − | 0.221930i | ||||
\(43\) | −1.92912 | − | 1.11378i | −0.294188 | − | 0.169850i | 0.345641 | − | 0.938367i | \(-0.387662\pi\) |
−0.639829 | + | 0.768517i | \(0.720995\pi\) | |||||||
\(44\) | 4.69015 | − | 4.69015i | 0.707067 | − | 0.707067i | ||||
\(45\) | −7.38793 | + | 6.32370i | −1.10133 | + | 0.942682i | ||||
\(46\) | 11.6269 | + | 3.11542i | 1.71429 | + | 0.459343i | ||||
\(47\) | 2.84061 | − | 10.6013i | 0.414346 | − | 1.54636i | −0.371796 | − | 0.928314i | \(-0.621258\pi\) |
0.786142 | − | 0.618046i | \(-0.212075\pi\) | |||||||
\(48\) | −4.58931 | + | 7.28232i | −0.662409 | + | 1.05111i | ||||
\(49\) | −0.866025 | + | 0.500000i | −0.123718 | + | 0.0714286i | ||||
\(50\) | 2.53972 | − | 9.47837i | 0.359171 | − | 1.34044i | ||||
\(51\) | 2.25593 | + | 0.0874160i | 0.315894 | + | 0.0122407i | ||||
\(52\) | 3.75533 | − | 1.95364i | 0.520771 | − | 0.270921i | ||||
\(53\) | 9.91360i | 1.36174i | 0.732405 | + | 0.680869i | \(0.238398\pi\) | ||||
−0.732405 | + | 0.680869i | \(0.761602\pi\) | |||||||
\(54\) | −7.26070 | + | 5.74297i | −0.988056 | + | 0.781519i | ||||
\(55\) | 9.15674 | − | 15.8599i | 1.23469 | − | 2.13855i | ||||
\(56\) | 0.735747 | − | 1.27435i | 0.0983184 | − | 0.170292i | ||||
\(57\) | −3.37490 | − | 3.64699i | −0.447016 | − | 0.483056i | ||||
\(58\) | −9.68167 | − | 9.68167i | −1.27127 | − | 1.27127i | ||||
\(59\) | −0.129892 | − | 0.129892i | −0.0169105 | − | 0.0169105i | 0.698601 | − | 0.715511i | \(-0.253806\pi\) |
−0.715511 | + | 0.698601i | \(0.753806\pi\) | |||||||
\(60\) | 1.95135 | − | 6.29638i | 0.251918 | − | 0.812859i | ||||
\(61\) | −5.22020 | + | 9.04165i | −0.668378 | + | 1.15766i | 0.309980 | + | 0.950743i | \(0.399678\pi\) |
−0.978358 | + | 0.206921i | \(0.933656\pi\) | |||||||
\(62\) | 8.02221 | − | 13.8949i | 1.01882 | − | 1.76465i | ||||
\(63\) | 2.27911 | − | 1.95081i | 0.287141 | − | 0.245779i | ||||
\(64\) | − | 0.591509i | − | 0.0739387i | ||||||
\(65\) | 8.61916 | − | 7.89382i | 1.06907 | − | 0.979107i | ||||
\(66\) | 9.29474 | − | 14.7489i | 1.14410 | − | 1.81547i | ||||
\(67\) | 2.31342 | − | 8.63380i | 0.282629 | − | 1.05479i | −0.667925 | − | 0.744229i | \(-0.732817\pi\) |
0.950554 | − | 0.310558i | \(-0.100516\pi\) | |||||||
\(68\) | −1.32529 | + | 0.765156i | −0.160715 | + | 0.0927888i | ||||
\(69\) | 11.6936 | + | 0.453118i | 1.40774 | + | 0.0545490i | ||||
\(70\) | −1.49472 | + | 5.57838i | −0.178653 | + | 0.666744i | ||||
\(71\) | −7.00798 | − | 1.87778i | −0.831694 | − | 0.222852i | −0.182241 | − | 0.983254i | \(-0.558335\pi\) |
−0.649453 | + | 0.760402i | \(0.725002\pi\) | |||||||
\(72\) | −1.46909 | + | 4.16287i | −0.173134 | + | 0.490598i | ||||
\(73\) | −9.23277 | + | 9.23277i | −1.08061 | + | 1.08061i | −0.0841623 | + | 0.996452i | \(0.526821\pi\) |
−0.996452 | + | 0.0841623i | \(0.973179\pi\) | |||||||
\(74\) | −3.08573 | − | 1.78155i | −0.358708 | − | 0.207100i | ||||
\(75\) | 0.369387 | − | 9.53274i | 0.0426532 | − | 1.10075i | ||||
\(76\) | 3.25339 | + | 0.871743i | 0.373189 | + | 0.0999958i | ||||
\(77\) | −2.82477 | + | 4.89265i | −0.321913 | + | 0.557569i | ||||
\(78\) | 8.48975 | − | 7.19113i | 0.961275 | − | 0.814235i | ||||
\(79\) | 7.35010 | + | 12.7307i | 0.826951 | + | 1.43232i | 0.900419 | + | 0.435023i | \(0.143260\pi\) |
−0.0734685 | + | 0.997298i | \(0.523407\pi\) | |||||||
\(80\) | −4.16950 | − | 15.5608i | −0.466164 | − | 1.73975i | ||||
\(81\) | −5.64876 | + | 7.00653i | −0.627640 | + | 0.778503i | ||||
\(82\) | −1.43667 | + | 0.829464i | −0.158654 | + | 0.0915990i | ||||
\(83\) | −9.97246 | − | 2.67211i | −1.09462 | − | 0.293302i | −0.334047 | − | 0.942556i | \(-0.608415\pi\) |
−0.760572 | + | 0.649254i | \(0.775081\pi\) | |||||||
\(84\) | −0.601975 | + | 1.94238i | −0.0656809 | + | 0.211931i | ||||
\(85\) | −2.98768 | + | 2.98768i | −0.324059 | + | 0.324059i | ||||
\(86\) | 3.83336 | − | 1.02715i | 0.413362 | − | 0.110760i | ||||
\(87\) | −11.2615 | − | 7.09700i | −1.20736 | − | 0.760878i | ||||
\(88\) | − | 8.31328i | − | 0.886199i | ||||||
\(89\) | −15.9443 | + | 4.27226i | −1.69009 | + | 0.452858i | −0.970413 | − | 0.241451i | \(-0.922377\pi\) |
−0.719677 | + | 0.694309i | \(0.755710\pi\) | |||||||
\(90\) | 1.34069 | − | 17.2735i | 0.141321 | − | 1.82079i | ||||
\(91\) | −2.65893 | + | 2.43517i | −0.278732 | + | 0.255276i | ||||
\(92\) | −6.86960 | + | 3.96617i | −0.716205 | + | 0.413501i | ||||
\(93\) | 4.61750 | − | 14.8992i | 0.478813 | − | 1.54497i | ||||
\(94\) | 9.77671 | + | 16.9338i | 1.00839 | + | 1.74658i | ||||
\(95\) | 9.29954 | 0.954113 | ||||||||
\(96\) | −2.26492 | − | 9.98444i | −0.231162 | − | 1.01903i | ||||
\(97\) | 8.08009 | − | 2.16505i | 0.820409 | − | 0.219828i | 0.175884 | − | 0.984411i | \(-0.443722\pi\) |
0.644525 | + | 0.764583i | \(0.277055\pi\) | |||||||
\(98\) | 0.461109 | − | 1.72088i | 0.0465790 | − | 0.173835i | ||||
\(99\) | 5.64032 | − | 15.9826i | 0.566873 | − | 1.60631i | ||||
\(100\) | 3.23326 | + | 5.60017i | 0.323326 | + | 0.560017i | ||||
\(101\) | −8.69531 | −0.865215 | −0.432608 | − | 0.901582i | \(-0.642406\pi\) | ||||
−0.432608 | + | 0.901582i | \(0.642406\pi\) | |||||||
\(102\) | −2.95209 | + | 2.73184i | −0.292300 | + | 0.270493i | ||||
\(103\) | −0.923568 | − | 0.533222i | −0.0910018 | − | 0.0525399i | 0.453809 | − | 0.891099i | \(-0.350065\pi\) |
−0.544810 | + | 0.838559i | \(0.683398\pi\) | |||||||
\(104\) | 1.59675 | − | 5.05957i | 0.156574 | − | 0.496132i | ||||
\(105\) | −0.217398 | + | 5.61038i | −0.0212159 | + | 0.547517i | ||||
\(106\) | −12.4889 | − | 12.4889i | −1.21303 | − | 1.21303i | ||||
\(107\) | 15.5718 | + | 8.99036i | 1.50538 | + | 0.869131i | 0.999981 | + | 0.00624455i | \(0.00198771\pi\) |
0.505398 | + | 0.862886i | \(0.331346\pi\) | |||||||
\(108\) | 0.707230 | − | 6.05943i | 0.0680532 | − | 0.583069i | ||||
\(109\) | 4.70566 | + | 4.70566i | 0.450721 | + | 0.450721i | 0.895594 | − | 0.444873i | \(-0.146751\pi\) |
−0.444873 | + | 0.895594i | \(0.646751\pi\) | |||||||
\(110\) | 8.44450 | + | 31.5153i | 0.805152 | + | 3.00487i | ||||
\(111\) | −3.30876 | − | 1.02544i | −0.314054 | − | 0.0973304i | ||||
\(112\) | 1.28625 | + | 4.80037i | 0.121540 | + | 0.453592i | ||||
\(113\) | − | 5.17811i | − | 0.487116i | −0.969886 | − | 0.243558i | \(-0.921685\pi\) | ||
0.969886 | − | 0.243558i | \(-0.0783146\pi\) | |||||||
\(114\) | 8.84599 | + | 0.342776i | 0.828503 | + | 0.0321039i | ||||
\(115\) | −15.4866 | + | 15.4866i | −1.44413 | + | 1.44413i | ||||
\(116\) | 9.02290 | 0.837755 | ||||||||
\(117\) | 6.50257 | − | 8.64387i | 0.601163 | − | 0.799126i | ||||
\(118\) | 0.327269 | 0.0301275 | ||||||||
\(119\) | 0.921673 | − | 0.921673i | 0.0844896 | − | 0.0844896i | ||||
\(120\) | −3.85078 | − | 7.30954i | −0.351526 | − | 0.667267i | ||||
\(121\) | 20.9174i | 1.90158i | ||||||||
\(122\) | −4.81416 | − | 17.9667i | −0.435853 | − | 1.62663i | ||||
\(123\) | −1.18373 | + | 1.09541i | −0.106733 | + | 0.0987699i | ||||
\(124\) | 2.73654 | + | 10.2129i | 0.245748 | + | 0.917145i | ||||
\(125\) | 1.16409 | + | 1.16409i | 0.104119 | + | 0.104119i | ||||
\(126\) | −0.413591 | + | 5.32874i | −0.0368456 | + | 0.474722i | ||||
\(127\) | −8.05416 | − | 4.65007i | −0.714692 | − | 0.412627i | 0.0981042 | − | 0.995176i | \(-0.468722\pi\) |
−0.812796 | + | 0.582549i | \(0.802055\pi\) | |||||||
\(128\) | −7.61421 | − | 7.61421i | −0.673008 | − | 0.673008i | ||||
\(129\) | 3.41352 | − | 1.79830i | 0.300544 | − | 0.158331i | ||||
\(130\) | −0.913763 | + | 20.8026i | −0.0801423 | + | 1.82451i | ||||
\(131\) | 6.45131 | + | 3.72467i | 0.563654 | + | 0.325426i | 0.754611 | − | 0.656173i | \(-0.227826\pi\) |
−0.190957 | + | 0.981598i | \(0.561159\pi\) | |||||||
\(132\) | 2.54153 | + | 11.2038i | 0.221212 | + | 0.975168i | ||||
\(133\) | −2.86883 | −0.248759 | ||||||||
\(134\) | 7.96224 | + | 13.7910i | 0.687833 | + | 1.19136i | ||||
\(135\) | −2.44395 | − | 16.6655i | −0.210342 | − | 1.43434i | ||||
\(136\) | −0.496417 | + | 1.85265i | −0.0425674 | + | 0.158864i | ||||
\(137\) | −9.01277 | + | 2.41496i | −0.770013 | + | 0.206324i | −0.622377 | − | 0.782718i | \(-0.713833\pi\) |
−0.147636 | + | 0.989042i | \(0.547166\pi\) | |||||||
\(138\) | −15.3021 | + | 14.1604i | −1.30260 | + | 1.20542i | ||||
\(139\) | −7.54410 | −0.639882 | −0.319941 | − | 0.947437i | \(-0.603663\pi\) | ||||
−0.319941 | + | 0.947437i | \(0.603663\pi\) | |||||||
\(140\) | −1.90290 | − | 3.29591i | −0.160824 | − | 0.278556i | ||||
\(141\) | 12.9114 | + | 13.9523i | 1.08733 | + | 1.17500i | ||||
\(142\) | 11.1940 | − | 6.46288i | 0.939383 | − | 0.542353i | ||||
\(143\) | −6.13042 | + | 19.4253i | −0.512652 | + | 1.62443i | ||||
\(144\) | −6.43307 | − | 13.4498i | −0.536089 | − | 1.12082i | ||||
\(145\) | 24.0635 | − | 6.44780i | 1.99837 | − | 0.535461i | ||||
\(146\) | − | 23.2624i | − | 1.92521i | ||||||
\(147\) | 0.0670655 | − | 1.73075i | 0.00553147 | − | 0.142750i | ||||
\(148\) | 2.26804 | − | 0.607721i | 0.186432 | − | 0.0499543i | ||||
\(149\) | −10.1553 | + | 10.1553i | −0.831957 | + | 0.831957i | −0.987784 | − | 0.155827i | \(-0.950196\pi\) |
0.155827 | + | 0.987784i | \(0.450196\pi\) | |||||||
\(150\) | 11.5437 | + | 12.4744i | 0.942542 | + | 1.01853i | ||||
\(151\) | −8.67188 | − | 2.32362i | −0.705707 | − | 0.189094i | −0.111922 | − | 0.993717i | \(-0.535701\pi\) |
−0.593786 | + | 0.804623i | \(0.702367\pi\) | |||||||
\(152\) | 3.65589 | − | 2.11073i | 0.296532 | − | 0.171203i | ||||
\(153\) | −2.21135 | + | 3.22499i | −0.178777 | + | 0.260725i | ||||
\(154\) | −2.60506 | − | 9.72220i | −0.209921 | − | 0.783437i | ||||
\(155\) | 14.5963 | + | 25.2816i | 1.17241 | + | 2.03067i | ||||
\(156\) | −0.605130 | + | 7.30695i | −0.0484492 | + | 0.585024i | ||||
\(157\) | 3.56327 | − | 6.17177i | 0.284380 | − | 0.492561i | −0.688079 | − | 0.725636i | \(-0.741546\pi\) |
0.972459 | + | 0.233076i | \(0.0748789\pi\) | |||||||
\(158\) | −25.2973 | − | 6.77839i | −2.01254 | − | 0.539260i | ||||
\(159\) | −14.5268 | − | 9.15478i | −1.15205 | − | 0.726021i | ||||
\(160\) | 16.5938 | + | 9.58046i | 1.31186 | + | 0.757402i | ||||
\(161\) | 4.77747 | − | 4.77747i | 0.376517 | − | 0.376517i | ||||
\(162\) | −1.71048 | − | 15.9428i | −0.134388 | − | 1.25258i | ||||
\(163\) | 5.57705 | + | 1.49437i | 0.436828 | + | 0.117048i | 0.470530 | − | 0.882384i | \(-0.344063\pi\) |
−0.0337014 | + | 0.999432i | \(0.510730\pi\) | |||||||
\(164\) | 0.282947 | − | 1.05597i | 0.0220944 | − | 0.0824576i | ||||
\(165\) | 14.7844 | + | 28.0637i | 1.15096 | + | 2.18476i | ||||
\(166\) | 15.9293 | − | 9.19677i | 1.23635 | − | 0.713808i | ||||
\(167\) | −0.358016 | + | 1.33613i | −0.0277041 | + | 0.103393i | −0.978393 | − | 0.206752i | \(-0.933711\pi\) |
0.950689 | + | 0.310145i | \(0.100377\pi\) | |||||||
\(168\) | 1.18793 | + | 2.25493i | 0.0916509 | + | 0.173972i | ||||
\(169\) | −7.46211 | + | 10.6450i | −0.574009 | + | 0.818849i | ||||
\(170\) | − | 7.52759i | − | 0.577340i | ||||||
\(171\) | 8.46066 | − | 1.57754i | 0.647003 | − | 0.120638i | ||||
\(172\) | −1.30764 | + | 2.26489i | −0.0997063 | + | 0.172696i | ||||
\(173\) | −9.43965 | + | 16.3500i | −0.717684 | + | 1.24306i | 0.244232 | + | 0.969717i | \(0.421464\pi\) |
−0.961915 | + | 0.273347i | \(0.911869\pi\) | |||||||
\(174\) | 23.1276 | − | 5.24636i | 1.75330 | − | 0.397726i | ||||
\(175\) | −3.89464 | − | 3.89464i | −0.294407 | − | 0.294407i | ||||
\(176\) | 19.8531 | + | 19.8531i | 1.49649 | + | 1.49649i | ||||
\(177\) | 0.310286 | − | 0.0703866i | 0.0233225 | − | 0.00529058i | ||||
\(178\) | 14.7041 | − | 25.4682i | 1.10212 | − | 1.90892i | ||||
\(179\) | −0.00464280 | + | 0.00804157i | −0.000347019 | + | 0.000601055i | −0.866199 | − | 0.499699i | \(-0.833444\pi\) |
0.865852 | + | 0.500300i | \(0.166777\pi\) | |||||||
\(180\) | 7.42437 | + | 8.67383i | 0.553380 | + | 0.646509i | ||||
\(181\) | − | 8.32002i | − | 0.618422i | −0.950993 | − | 0.309211i | \(-0.899935\pi\) | ||
0.950993 | − | 0.309211i | \(-0.100065\pi\) | |||||||
\(182\) | 0.281888 | − | 6.41742i | 0.0208949 | − | 0.475691i | ||||
\(183\) | −8.42848 | − | 15.9989i | −0.623051 | − | 1.18268i | ||||
\(184\) | −2.57317 | + | 9.60318i | −0.189696 | + | 0.707956i | ||||
\(185\) | 5.61445 | − | 3.24151i | 0.412783 | − | 0.238320i | ||||
\(186\) | 12.9526 | + | 24.5866i | 0.949730 | + | 1.80278i | ||||
\(187\) | 1.90591 | − | 7.11294i | 0.139374 | − | 0.520150i | ||||
\(188\) | −12.4465 | − | 3.33503i | −0.907755 | − | 0.243232i | ||||
\(189\) | 0.753939 | + | 5.14116i | 0.0548410 | + | 0.373965i | ||||
\(190\) | −11.7153 | + | 11.7153i | −0.849917 | + | 0.849917i | ||||
\(191\) | 10.7906 | + | 6.22994i | 0.780778 | + | 0.450782i | 0.836706 | − | 0.547652i | \(-0.184478\pi\) |
−0.0559279 | + | 0.998435i | \(0.517812\pi\) | |||||||
\(192\) | 0.866764 | + | 0.546233i | 0.0625533 | + | 0.0394210i | ||||
\(193\) | 15.6966 | + | 4.20588i | 1.12986 | + | 0.302746i | 0.774868 | − | 0.632123i | \(-0.217816\pi\) |
0.354995 | + | 0.934868i | \(0.384483\pi\) | |||||||
\(194\) | −7.45160 | + | 12.9066i | −0.534994 | + | 0.926636i | ||||
\(195\) | 3.60773 | + | 19.9196i | 0.258355 | + | 1.42647i | ||||
\(196\) | 0.587027 | + | 1.01676i | 0.0419305 | + | 0.0726258i | ||||
\(197\) | −0.330183 | − | 1.23226i | −0.0235245 | − | 0.0877947i | 0.953166 | − | 0.302449i | \(-0.0978042\pi\) |
−0.976690 | + | 0.214654i | \(0.931138\pi\) | |||||||
\(198\) | 13.0289 | + | 27.2399i | 0.925925 | + | 1.93586i | ||||
\(199\) | 16.1754 | − | 9.33889i | 1.14665 | − | 0.662016i | 0.198578 | − | 0.980085i | \(-0.436368\pi\) |
0.948068 | + | 0.318069i | \(0.103034\pi\) | |||||||
\(200\) | 7.82862 | + | 2.09767i | 0.553567 | + | 0.148328i | ||||
\(201\) | 10.5151 | + | 11.3629i | 0.741680 | + | 0.801477i | ||||
\(202\) | 10.9541 | − | 10.9541i | 0.770728 | − | 0.770728i | ||||
\(203\) | −7.42338 | + | 1.98909i | −0.521019 | + | 0.139607i | ||||
\(204\) | 0.102631 | − | 2.64859i | 0.00718561 | − | 0.185438i | ||||
\(205\) | − | 3.01841i | − | 0.210815i | ||||||
\(206\) | 1.83522 | − | 0.491747i | 0.127866 | − | 0.0342616i | ||||
\(207\) | −11.4625 | + | 16.7167i | −0.796698 | + | 1.16189i | ||||
\(208\) | 8.26966 | + | 15.8961i | 0.573398 | + | 1.10220i | ||||
\(209\) | −14.0362 | + | 8.10379i | −0.970902 | + | 0.560551i | ||||
\(210\) | −6.79393 | − | 7.34167i | −0.468825 | − | 0.506623i | ||||
\(211\) | 9.62979 | + | 16.6793i | 0.662942 | + | 1.14825i | 0.979839 | + | 0.199789i | \(0.0640257\pi\) |
−0.316897 | + | 0.948460i | \(0.602641\pi\) | |||||||
\(212\) | 11.6391 | 0.799377 | ||||||||
\(213\) | 9.22316 | − | 8.53504i | 0.631960 | − | 0.584811i | ||||
\(214\) | −30.9427 | + | 8.29107i | −2.11520 | + | 0.566766i | ||||
\(215\) | −1.86888 | + | 6.97477i | −0.127457 | + | 0.475675i | ||||
\(216\) | −4.74338 | − | 5.99694i | −0.322746 | − | 0.408040i | ||||
\(217\) | −4.50284 | − | 7.79915i | −0.305673 | − | 0.529441i | ||||
\(218\) | −11.8561 | −0.802998 | ||||||||
\(219\) | −5.00311 | − | 22.0552i | −0.338079 | − | 1.49035i | ||||
\(220\) | −18.6204 | − | 10.7505i | −1.25539 | − | 0.724799i | ||||
\(221\) | 2.52615 | − | 3.96296i | 0.169928 | − | 0.266577i | ||||
\(222\) | 5.46011 | − | 2.87647i | 0.366458 | − | 0.193056i | ||||
\(223\) | −7.83156 | − | 7.83156i | −0.524440 | − | 0.524440i | 0.394469 | − | 0.918909i | \(-0.370929\pi\) |
−0.918909 | + | 0.394469i | \(0.870929\pi\) | |||||||
\(224\) | −5.11905 | − | 2.95549i | −0.342031 | − | 0.197472i | ||||
\(225\) | 13.6276 | + | 9.34435i | 0.908507 | + | 0.622956i | ||||
\(226\) | 6.52325 | + | 6.52325i | 0.433920 | + | 0.433920i | ||||
\(227\) | −1.98899 | − | 7.42302i | −0.132014 | − | 0.492683i | 0.867978 | − | 0.496602i | \(-0.165419\pi\) |
−0.999992 | + | 0.00391887i | \(0.998753\pi\) | |||||||
\(228\) | −4.28177 | + | 3.96231i | −0.283567 | + | 0.262411i | ||||
\(229\) | −1.17306 | − | 4.37793i | −0.0775181 | − | 0.289302i | 0.916274 | − | 0.400551i | \(-0.131181\pi\) |
−0.993792 | + | 0.111250i | \(0.964515\pi\) | |||||||
\(230\) | − | 39.0191i | − | 2.57284i | ||||||
\(231\) | −4.56085 | − | 8.65741i | −0.300082 | − | 0.569616i | ||||
\(232\) | 7.99654 | − | 7.99654i | 0.524998 | − | 0.524998i | ||||
\(233\) | −15.3595 | −1.00623 | −0.503117 | − | 0.864218i | \(-0.667814\pi\) | ||||
−0.503117 | + | 0.864218i | \(0.667814\pi\) | |||||||
\(234\) | 2.69755 | + | 19.0811i | 0.176344 | + | 1.24737i | ||||
\(235\) | −35.5773 | −2.32081 | ||||||||
\(236\) | −0.152500 | + | 0.152500i | −0.00992692 | + | 0.00992692i | ||||
\(237\) | −25.4424 | − | 0.985876i | −1.65266 | − | 0.0640395i | ||||
\(238\) | 2.32220i | 0.150526i | ||||||||
\(239\) | 0.458295 | + | 1.71038i | 0.0296446 | + | 0.110635i | 0.979163 | − | 0.203077i | \(-0.0650940\pi\) |
−0.949518 | + | 0.313712i | \(0.898427\pi\) | |||||||
\(240\) | 26.6522 | + | 8.25996i | 1.72039 | + | 0.533178i | ||||
\(241\) | 0.963607 | + | 3.59623i | 0.0620714 | + | 0.231654i | 0.989992 | − | 0.141125i | \(-0.0450718\pi\) |
−0.927920 | + | 0.372778i | \(0.878405\pi\) | |||||||
\(242\) | −26.3511 | − | 26.3511i | −1.69392 | − | 1.69392i | ||||
\(243\) | −5.05058 | − | 14.7476i | −0.323995 | − | 0.946059i | ||||
\(244\) | 10.6154 | + | 6.12879i | 0.679580 | + | 0.392356i | ||||
\(245\) | 2.29215 | + | 2.29215i | 0.146440 | + | 0.146440i | ||||
\(246\) | 0.111257 | − | 2.87119i | 0.00709348 | − | 0.183061i | ||||
\(247\) | −10.0991 | + | 2.23612i | −0.642591 | + | 0.142281i | ||||
\(248\) | 11.4764 | + | 6.62591i | 0.728753 | + | 0.420746i | ||||
\(249\) | 13.1247 | − | 12.1455i | 0.831743 | − | 0.769689i | ||||
\(250\) | −2.93297 | −0.185497 | ||||||||
\(251\) | 2.02210 | + | 3.50238i | 0.127634 | + | 0.221068i | 0.922759 | − | 0.385377i | \(-0.125928\pi\) |
−0.795126 | + | 0.606445i | \(0.792595\pi\) | |||||||
\(252\) | −2.29035 | − | 2.67580i | −0.144279 | − | 0.168560i | ||||
\(253\) | 9.87922 | − | 36.8697i | 0.621101 | − | 2.31798i | ||||
\(254\) | 16.0045 | − | 4.28838i | 1.00421 | − | 0.269077i | ||||
\(255\) | −1.61898 | − | 7.13696i | −0.101385 | − | 0.446934i | ||||
\(256\) | 20.3674 | 1.27296 | ||||||||
\(257\) | 14.3328 | + | 24.8251i | 0.894055 | + | 1.54855i | 0.834970 | + | 0.550296i | \(0.185485\pi\) |
0.0590849 | + | 0.998253i | \(0.481182\pi\) | |||||||
\(258\) | −2.03482 | + | 6.56571i | −0.126682 | + | 0.408763i | ||||
\(259\) | −1.73201 | + | 0.999976i | −0.107622 | + | 0.0621355i | ||||
\(260\) | −9.26777 | − | 10.1194i | −0.574763 | − | 0.627576i | ||||
\(261\) | 20.7991 | − | 9.94823i | 1.28743 | − | 0.615780i | ||||
\(262\) | −12.8194 | + | 3.43495i | −0.791987 | + | 0.212212i | ||||
\(263\) | 18.9118i | 1.16615i | 0.812418 | + | 0.583076i | \(0.198151\pi\) | ||||
−0.812418 | + | 0.583076i | \(0.801849\pi\) | |||||||
\(264\) | 12.1818 | + | 7.67695i | 0.749738 | + | 0.472484i | ||||
\(265\) | 31.0408 | − | 8.31734i | 1.90682 | − | 0.510930i | ||||
\(266\) | 3.61407 | − | 3.61407i | 0.221593 | − | 0.221593i | ||||
\(267\) | 8.46352 | − | 27.3091i | 0.517959 | − | 1.67129i | ||||
\(268\) | −10.1366 | − | 2.71608i | −0.619188 | − | 0.165911i | ||||
\(269\) | −12.2656 | + | 7.08156i | −0.747849 | + | 0.431771i | −0.824916 | − | 0.565255i | \(-0.808778\pi\) |
0.0770674 | + | 0.997026i | \(0.475444\pi\) | |||||||
\(270\) | 24.0736 | + | 17.9159i | 1.46507 | + | 1.09033i | ||||
\(271\) | 0.915230 | + | 3.41569i | 0.0555963 | + | 0.207488i | 0.988137 | − | 0.153578i | \(-0.0490796\pi\) |
−0.932540 | + | 0.361066i | \(0.882413\pi\) | |||||||
\(272\) | −3.23886 | − | 5.60987i | −0.196385 | − | 0.340148i | ||||
\(273\) | −1.11295 | − | 6.14503i | −0.0673590 | − | 0.371914i | ||||
\(274\) | 8.31173 | − | 14.3963i | 0.502130 | − | 0.869715i | ||||
\(275\) | −30.0566 | − | 8.05365i | −1.81248 | − | 0.485653i | ||||
\(276\) | 0.531986 | − | 13.7289i | 0.0320218 | − | 0.826383i | ||||
\(277\) | 4.91642 | + | 2.83850i | 0.295399 | + | 0.170549i | 0.640374 | − | 0.768063i | \(-0.278779\pi\) |
−0.344975 | + | 0.938612i | \(0.612113\pi\) | |||||||
\(278\) | 9.50385 | − | 9.50385i | 0.570003 | − | 0.570003i | ||||
\(279\) | 17.5684 | + | 20.5250i | 1.05179 | + | 1.22880i | ||||
\(280\) | −4.60744 | − | 1.23456i | −0.275347 | − | 0.0737791i | ||||
\(281\) | 1.58579 | − | 5.91824i | 0.0946002 | − | 0.353053i | −0.902358 | − | 0.430987i | \(-0.858166\pi\) |
0.996959 | + | 0.0779338i | \(0.0248323\pi\) | |||||||
\(282\) | −33.8421 | − | 1.31136i | −2.01527 | − | 0.0780903i | ||||
\(283\) | 14.5627 | − | 8.40780i | 0.865665 | − | 0.499792i | −0.000240253 | − | 1.00000i | \(-0.500076\pi\) |
0.865905 | + | 0.500208i | \(0.166743\pi\) | |||||||
\(284\) | −2.20462 | + | 8.22775i | −0.130820 | + | 0.488227i | ||||
\(285\) | −8.58772 | + | 13.6270i | −0.508693 | + | 0.807194i | ||||
\(286\) | −16.7486 | − | 32.1945i | −0.990364 | − | 1.90370i | ||||
\(287\) | 0.931152i | 0.0549642i | ||||||||
\(288\) | 16.7222 | + | 5.90132i | 0.985364 | + | 0.347738i | ||||
\(289\) | 7.65052 | − | 13.2511i | 0.450031 | − | 0.779476i | ||||
\(290\) | −22.1918 | + | 38.4373i | −1.30315 | + | 2.25712i | ||||
\(291\) | −4.28907 | + | 13.8394i | −0.251429 | + | 0.811282i | ||||
\(292\) | 10.8398 | + | 10.8398i | 0.634350 | + | 0.634350i | ||||
\(293\) | 9.35142 | + | 9.35142i | 0.546316 | + | 0.546316i | 0.925373 | − | 0.379057i | \(-0.123752\pi\) |
−0.379057 | + | 0.925373i | \(0.623752\pi\) | |||||||
\(294\) | 2.09587 | + | 2.26484i | 0.122233 | + | 0.132088i | ||||
\(295\) | −0.297731 | + | 0.515686i | −0.0173346 | + | 0.0300244i | ||||
\(296\) | 1.47146 | − | 2.54864i | 0.0855269 | − | 0.148137i | ||||
\(297\) | 18.2114 | + | 23.0242i | 1.05673 | + | 1.33600i | ||||
\(298\) | − | 25.5868i | − | 1.48221i | ||||||
\(299\) | 13.0943 | − | 20.5419i | 0.757260 | − | 1.18797i | ||||
\(300\) | −11.1920 | − | 0.433681i | −0.646168 | − | 0.0250386i | ||||
\(301\) | 0.576534 | − | 2.15165i | 0.0332309 | − | 0.124019i | ||||
\(302\) | 13.8518 | − | 7.99736i | 0.797083 | − | 0.460196i | ||||
\(303\) | 8.02974 | − | 12.7416i | 0.461296 | − | 0.731986i | ||||
\(304\) | −3.69004 | + | 13.7714i | −0.211638 | + | 0.789845i | ||||
\(305\) | 32.6902 | + | 8.75932i | 1.87184 | + | 0.501557i | ||||
\(306\) | −1.27696 | − | 6.84856i | −0.0729987 | − | 0.391506i | ||||
\(307\) | 2.62566 | − | 2.62566i | 0.149855 | − | 0.149855i | −0.628199 | − | 0.778053i | \(-0.716207\pi\) |
0.778053 | + | 0.628199i | \(0.216207\pi\) | |||||||
\(308\) | 5.74424 | + | 3.31644i | 0.327308 | + | 0.188972i | ||||
\(309\) | 1.63423 | − | 0.860935i | 0.0929679 | − | 0.0489769i | ||||
\(310\) | −50.2371 | − | 13.4610i | −2.85328 | − | 0.764534i | ||||
\(311\) | −0.320894 | + | 0.555805i | −0.0181962 | + | 0.0315168i | −0.874980 | − | 0.484159i | \(-0.839126\pi\) |
0.856784 | + | 0.515676i | \(0.172459\pi\) | |||||||
\(312\) | 5.93948 | + | 7.01207i | 0.336257 | + | 0.396980i | ||||
\(313\) | −7.03937 | − | 12.1925i | −0.397889 | − | 0.689164i | 0.595576 | − | 0.803299i | \(-0.296924\pi\) |
−0.993465 | + | 0.114135i | \(0.963590\pi\) | |||||||
\(314\) | 3.28611 | + | 12.2639i | 0.185446 | + | 0.692094i | ||||
\(315\) | −8.02036 | − | 5.49950i | −0.451896 | − | 0.309862i | ||||
\(316\) | 14.9466 | − | 8.62941i | 0.840811 | − | 0.485442i | ||||
\(317\) | 2.49232 | + | 0.667816i | 0.139983 | + | 0.0375083i | 0.328130 | − | 0.944633i | \(-0.393582\pi\) |
−0.188147 | + | 0.982141i | \(0.560248\pi\) | |||||||
\(318\) | 29.8334 | − | 6.76755i | 1.67298 | − | 0.379505i | ||||
\(319\) | −30.7013 | + | 30.7013i | −1.71894 | + | 1.71894i | ||||
\(320\) | −1.85209 | + | 0.496266i | −0.103535 | + | 0.0277421i | ||||
\(321\) | −27.5538 | + | 14.5158i | −1.53790 | + | 0.810190i | ||||
\(322\) | 12.0370i | 0.670798i | ||||||||
\(323\) | 3.61193 | − | 0.967815i | 0.200973 | − | 0.0538507i | ||||
\(324\) | 8.22605 | + | 6.63195i | 0.457003 | + | 0.368442i | ||||
\(325\) | −16.7460 | − | 10.6746i | −0.928900 | − | 0.592119i | ||||
\(326\) | −8.90838 | + | 5.14325i | −0.493389 | + | 0.284858i | ||||
\(327\) | −11.2409 | + | 2.54993i | −0.621622 | + | 0.141012i | ||||
\(328\) | −0.685093 | − | 1.18662i | −0.0378279 | − | 0.0655199i | ||||
\(329\) | 10.9753 | 0.605087 | ||||||||
\(330\) | −53.9789 | − | 16.7289i | −2.97144 | − | 0.920897i | ||||
\(331\) | −5.51400 | + | 1.47747i | −0.303077 | + | 0.0812092i | −0.407152 | − | 0.913360i | \(-0.633478\pi\) |
0.104076 | + | 0.994569i | \(0.466812\pi\) | |||||||
\(332\) | −3.13720 | + | 11.7082i | −0.172176 | + | 0.642571i | ||||
\(333\) | 4.55812 | − | 3.90152i | 0.249783 | − | 0.213802i | ||||
\(334\) | −1.23221 | − | 2.13424i | −0.0674233 | − | 0.116781i | ||||
\(335\) | −28.9745 | −1.58304 | ||||||||
\(336\) | −8.22198 | − | 2.54813i | −0.448546 | − | 0.139012i | ||||
\(337\) | 16.9668 | + | 9.79580i | 0.924242 | + | 0.533611i | 0.884986 | − | 0.465618i | \(-0.154168\pi\) |
0.0392562 | + | 0.999229i | \(0.487501\pi\) | |||||||
\(338\) | −4.00976 | − | 22.8109i | −0.218102 | − | 1.24075i | ||||
\(339\) | 7.58771 | + | 4.78176i | 0.412108 | + | 0.259710i | ||||
\(340\) | 3.50770 | + | 3.50770i | 0.190232 | + | 0.190232i | ||||
\(341\) | −44.0617 | − | 25.4390i | −2.38607 | − | 1.37760i | ||||
\(342\) | −8.67117 | + | 12.6459i | −0.468883 | + | 0.683810i | ||||
\(343\) | −0.707107 | − | 0.707107i | −0.0381802 | − | 0.0381802i | ||||
\(344\) | 0.848367 | + | 3.16615i | 0.0457409 | + | 0.170707i | ||||
\(345\) | −8.39195 | − | 36.9943i | −0.451807 | − | 1.99170i | ||||
\(346\) | −8.70541 | − | 32.4890i | −0.468006 | − | 1.74662i | ||||
\(347\) | − | 5.29446i | − | 0.284221i | −0.989851 | − | 0.142111i | \(-0.954611\pi\) | ||
0.989851 | − | 0.142111i | \(-0.0453889\pi\) | |||||||
\(348\) | −8.33226 | + | 13.2216i | −0.446656 | + | 0.708754i | ||||
\(349\) | 11.0128 | − | 11.0128i | 0.589504 | − | 0.589504i | −0.347993 | − | 0.937497i | \(-0.613137\pi\) |
0.937497 | + | 0.347993i | \(0.113137\pi\) | |||||||
\(350\) | 9.81273 | 0.524513 | ||||||||
\(351\) | 6.66139 | + | 17.5107i | 0.355559 | + | 0.934654i | ||||
\(352\) | −33.3943 | −1.77992 | ||||||||
\(353\) | −9.27009 | + | 9.27009i | −0.493397 | + | 0.493397i | −0.909375 | − | 0.415978i | \(-0.863439\pi\) |
0.415978 | + | 0.909375i | \(0.363439\pi\) | |||||||
\(354\) | −0.302218 | + | 0.479561i | −0.0160627 | + | 0.0254884i | ||||
\(355\) | 23.5183i | 1.24822i | ||||||||
\(356\) | 5.01586 | + | 18.7194i | 0.265840 | + | 0.992128i | ||||
\(357\) | 0.499442 | + | 2.20169i | 0.0264333 | + | 0.116526i | ||||
\(358\) | −0.00428167 | − | 0.0159794i | −0.000226293 | − | 0.000844539i | ||||
\(359\) | 19.5745 | + | 19.5745i | 1.03310 | + | 1.03310i | 0.999433 | + | 0.0336680i | \(0.0107189\pi\) |
0.0336680 | + | 0.999433i | \(0.489281\pi\) | |||||||
\(360\) | 14.2670 | + | 1.10734i | 0.751937 | + | 0.0583618i | ||||
\(361\) | 9.32695 | + | 5.38492i | 0.490892 | + | 0.283417i | ||||
\(362\) | 10.4813 | + | 10.4813i | 0.550887 | + | 0.550887i | ||||
\(363\) | −30.6511 | − | 19.3163i | −1.60877 | − | 1.01384i | ||||
\(364\) | 2.85903 | + | 3.12173i | 0.149854 | + | 0.163623i | ||||
\(365\) | 36.6551 | + | 21.1629i | 1.91862 | + | 1.10771i | ||||
\(366\) | 30.7730 | + | 9.53706i | 1.60853 | + | 0.498510i | ||||
\(367\) | 5.05510 | 0.263874 | 0.131937 | − | 0.991258i | \(-0.457880\pi\) | ||||
0.131937 | + | 0.991258i | \(0.457880\pi\) | |||||||
\(368\) | −16.7886 | − | 29.0786i | −0.875164 | − | 1.51583i | ||||
\(369\) | −0.512033 | − | 2.74613i | −0.0266554 | − | 0.142958i | ||||
\(370\) | −2.98937 | + | 11.1565i | −0.155410 | + | 0.579999i | ||||
\(371\) | −9.57580 | + | 2.56583i | −0.497151 | + | 0.133211i | ||||
\(372\) | −17.4925 | − | 5.42120i | −0.906942 | − | 0.281076i | ||||
\(373\) | −25.1584 | −1.30265 | −0.651325 | − | 0.758799i | \(-0.725787\pi\) | ||||
−0.651325 | + | 0.758799i | \(0.725787\pi\) | |||||||
\(374\) | 6.55968 | + | 11.3617i | 0.339193 | + | 0.587499i | ||||
\(375\) | −2.78077 | + | 0.630802i | −0.143598 | + | 0.0325745i | ||||
\(376\) | −13.9864 | + | 8.07504i | −0.721292 | + | 0.416438i | ||||
\(377\) | −24.5821 | + | 12.7884i | −1.26604 | + | 0.658634i | ||||
\(378\) | −7.42649 | − | 5.52691i | −0.381977 | − | 0.284273i | ||||
\(379\) | 3.78534 | − | 1.01428i | 0.194440 | − | 0.0521000i | −0.160285 | − | 0.987071i | \(-0.551241\pi\) |
0.354725 | + | 0.934971i | \(0.384575\pi\) | |||||||
\(380\) | − | 10.9182i | − | 0.560090i | ||||||
\(381\) | 14.2516 | − | 7.50797i | 0.730133 | − | 0.384645i | ||||
\(382\) | −21.4420 | + | 5.74536i | −1.09707 | + | 0.293958i | ||||
\(383\) | 17.0044 | − | 17.0044i | 0.868884 | − | 0.868884i | −0.123465 | − | 0.992349i | \(-0.539401\pi\) |
0.992349 | + | 0.123465i | \(0.0394006\pi\) | |||||||
\(384\) | 18.1888 | − | 4.12604i | 0.928195 | − | 0.210556i | ||||
\(385\) | 17.6895 | + | 4.73988i | 0.901538 | + | 0.241566i | ||||
\(386\) | −25.0725 | + | 14.4756i | −1.27616 | + | 0.736791i | ||||
\(387\) | −0.517121 | + | 6.66263i | −0.0262868 | + | 0.338681i | ||||
\(388\) | −2.54189 | − | 9.48646i | −0.129045 | − | 0.481602i | ||||
\(389\) | −8.40077 | − | 14.5506i | −0.425936 | − | 0.737743i | 0.570571 | − | 0.821248i | \(-0.306722\pi\) |
−0.996507 | + | 0.0835054i | \(0.973388\pi\) | |||||||
\(390\) | −29.6391 | − | 20.5493i | −1.50083 | − | 1.04055i | ||||
\(391\) | −4.40326 | + | 7.62667i | −0.222682 | + | 0.385697i | ||||
\(392\) | 1.42135 | + | 0.380851i | 0.0717893 | + | 0.0192359i | ||||
\(393\) | −11.4154 | + | 6.01382i | −0.575832 | + | 0.303357i | ||||
\(394\) | 1.96832 | + | 1.13641i | 0.0991625 | + | 0.0572515i | ||||
\(395\) | 33.6950 | − | 33.6950i | 1.69538 | − | 1.69538i | ||||
\(396\) | −18.7644 | − | 6.62204i | −0.942948 | − | 0.332770i | ||||
\(397\) | −13.4895 | − | 3.61450i | −0.677019 | − | 0.181407i | −0.0961044 | − | 0.995371i | \(-0.530638\pi\) |
−0.580914 | + | 0.813965i | \(0.697305\pi\) | |||||||
\(398\) | −8.61248 | + | 32.1422i | −0.431705 | + | 1.61114i | ||||
\(399\) | 2.64924 | − | 4.20381i | 0.132628 | − | 0.210454i | ||||
\(400\) | −23.7052 | + | 13.6862i | −1.18526 | + | 0.684311i | ||||
\(401\) | 2.85941 | − | 10.6715i | 0.142792 | − | 0.532908i | −0.857051 | − | 0.515231i | \(-0.827706\pi\) |
0.999844 | − | 0.0176772i | \(-0.00562712\pi\) | |||||||
\(402\) | −27.5613 | − | 1.06798i | −1.37463 | − | 0.0532662i | ||||
\(403\) | −21.9304 | − | 23.9455i | −1.09243 | − | 1.19281i | ||||
\(404\) | 10.2088i | 0.507905i | ||||||||
\(405\) | 26.6776 | + | 11.8086i | 1.32562 | + | 0.586776i | ||||
\(406\) | 6.84598 | − | 11.8576i | 0.339760 | − | 0.588482i | ||||
\(407\) | −5.64941 | + | 9.78507i | −0.280031 | + | 0.485028i | ||||
\(408\) | −2.25635 | − | 2.43827i | −0.111706 | − | 0.120712i | ||||
\(409\) | −6.69974 | − | 6.69974i | −0.331281 | − | 0.331281i | 0.521792 | − | 0.853073i | \(-0.325264\pi\) |
−0.853073 | + | 0.521792i | \(0.825264\pi\) | |||||||
\(410\) | 3.80250 | + | 3.80250i | 0.187792 | + | 0.187792i | ||||
\(411\) | 4.78415 | − | 15.4369i | 0.235985 | − | 0.761446i | ||||
\(412\) | −0.626031 | + | 1.08432i | −0.0308424 | + | 0.0534205i | ||||
\(413\) | 0.0918475 | − | 0.159085i | 0.00451952 | − | 0.00782804i | ||||
\(414\) | −6.61907 | − | 35.4993i | −0.325310 | − | 1.74470i | ||||
\(415\) | 33.4669i | 1.64283i | ||||||||
\(416\) | −20.3242 | − | 6.41410i | −0.996477 | − | 0.314477i | ||||
\(417\) | 6.96665 | − | 11.0547i | 0.341158 | − | 0.541350i | ||||
\(418\) | 7.47345 | − | 27.8913i | 0.365539 | − | 1.36421i | ||||
\(419\) | 14.9623 | − | 8.63848i | 0.730956 | − | 0.422018i | −0.0878159 | − | 0.996137i | \(-0.527989\pi\) |
0.818772 | + | 0.574119i | \(0.194655\pi\) | |||||||
\(420\) | 6.58688 | + | 0.255237i | 0.321407 | + | 0.0124543i | ||||
\(421\) | 1.73430 | − | 6.47250i | 0.0845247 | − | 0.315450i | −0.910699 | − | 0.413070i | \(-0.864456\pi\) |
0.995224 | + | 0.0976201i | \(0.0311230\pi\) | |||||||
\(422\) | −33.1434 | − | 8.88076i | −1.61340 | − | 0.432309i | ||||
\(423\) | −32.3680 | + | 6.03522i | −1.57379 | + | 0.293442i | ||||
\(424\) | 10.3151 | − | 10.3151i | 0.500947 | − | 0.500947i | ||||
\(425\) | 6.21735 | + | 3.58959i | 0.301586 | + | 0.174121i | ||||
\(426\) | −0.866872 | + | 22.3713i | −0.0420001 | + | 1.08389i | ||||
\(427\) | −10.0846 | − | 2.70217i | −0.488030 | − | 0.130767i | ||||
\(428\) | 10.5552 | − | 18.2821i | 0.510203 | − | 0.883698i | ||||
\(429\) | −22.8036 | − | 26.9216i | −1.10097 | − | 1.29979i | ||||
\(430\) | −6.43225 | − | 11.1410i | −0.310191 | − | 0.537266i | ||||
\(431\) | −0.190028 | − | 0.709196i | −0.00915335 | − | 0.0341608i | 0.961198 | − | 0.275859i | \(-0.0889623\pi\) |
−0.970351 | + | 0.241698i | \(0.922296\pi\) | |||||||
\(432\) | 25.6492 | + | 2.99366i | 1.23405 | + | 0.144033i | ||||
\(433\) | −11.3108 | + | 6.53028i | −0.543561 | + | 0.313825i | −0.746521 | − | 0.665362i | \(-0.768277\pi\) |
0.202960 | + | 0.979187i | \(0.434944\pi\) | |||||||
\(434\) | 15.4977 | + | 4.15260i | 0.743914 | + | 0.199331i | ||||
\(435\) | −12.7734 | + | 41.2155i | −0.612436 | + | 1.97613i | ||||
\(436\) | 5.52470 | − | 5.52470i | 0.264585 | − | 0.264585i | ||||
\(437\) | 18.7224 | − | 5.01664i | 0.895612 | − | 0.239979i | ||||
\(438\) | 34.0874 | + | 21.4818i | 1.62876 | + | 1.02644i | ||||
\(439\) | − | 15.3530i | − | 0.732756i | −0.930466 | − | 0.366378i | \(-0.880598\pi\) | ||
0.930466 | − | 0.366378i | \(-0.119402\pi\) | |||||||
\(440\) | −26.0299 | + | 6.97470i | −1.24093 | + | 0.332506i | ||||
\(441\) | 2.47421 | + | 1.69655i | 0.117820 | + | 0.0807880i | ||||
\(442\) | 1.81005 | + | 8.17481i | 0.0860952 | + | 0.388836i | ||||
\(443\) | 1.48738 | − | 0.858740i | 0.0706676 | − | 0.0407999i | −0.464250 | − | 0.885704i | \(-0.653676\pi\) |
0.534917 | + | 0.844904i | \(0.320343\pi\) | |||||||
\(444\) | −1.20392 | + | 3.88467i | −0.0571356 | + | 0.184358i | ||||
\(445\) | 26.7540 | + | 46.3392i | 1.26826 | + | 2.19669i | ||||
\(446\) | 19.7320 | 0.934336 | ||||||||
\(447\) | −5.50303 | − | 24.2591i | −0.260285 | − | 1.14741i | ||||
\(448\) | 0.571354 | − | 0.153094i | 0.0269939 | − | 0.00723301i | ||||
\(449\) | 3.83373 | − | 14.3077i | 0.180925 | − | 0.675221i | −0.814541 | − | 0.580105i | \(-0.803011\pi\) |
0.995466 | − | 0.0951153i | \(-0.0303220\pi\) | |||||||
\(450\) | −28.9394 | + | 5.39594i | −1.36422 | + | 0.254367i | ||||
\(451\) | 2.63029 | + | 4.55580i | 0.123856 | + | 0.214524i | ||||
\(452\) | −6.07939 | −0.285950 | ||||||||
\(453\) | 11.4130 | − | 10.5615i | 0.536230 | − | 0.496223i | ||||
\(454\) | 11.8570 | + | 6.84564i | 0.556477 | + | 0.321282i | ||||
\(455\) | 9.85564 | + | 6.28239i | 0.462040 | + | 0.294523i | ||||
\(456\) | −0.283114 | + | 7.30631i | −0.0132580 | + | 0.342149i | ||||
\(457\) | 12.5046 | + | 12.5046i | 0.584939 | + | 0.584939i | 0.936256 | − | 0.351317i | \(-0.114266\pi\) |
−0.351317 | + | 0.936256i | \(0.614266\pi\) | |||||||
\(458\) | 6.99298 | + | 4.03740i | 0.326761 | + | 0.188655i | ||||
\(459\) | −2.68363 | − | 6.21853i | −0.125261 | − | 0.290256i | ||||
\(460\) | 18.1821 | + | 18.1821i | 0.847743 | + | 0.847743i | ||||
\(461\) | −6.15109 | − | 22.9562i | −0.286485 | − | 1.06918i | −0.947747 | − | 0.319022i | \(-0.896646\pi\) |
0.661263 | − | 0.750155i | \(-0.270021\pi\) | |||||||
\(462\) | 16.6520 | + | 5.16073i | 0.774722 | + | 0.240099i | ||||
\(463\) | −2.74722 | − | 10.2528i | −0.127674 | − | 0.476486i | 0.872247 | − | 0.489066i | \(-0.162662\pi\) |
−0.999921 | + | 0.0125797i | \(0.995996\pi\) | |||||||
\(464\) | 38.1934i | 1.77309i | ||||||||
\(465\) | −50.5253 | − | 1.95782i | −2.34305 | − | 0.0907918i | ||||
\(466\) | 19.3495 | − | 19.3495i | 0.896347 | − | 0.896347i | ||||
\(467\) | 18.4219 | 0.852462 | 0.426231 | − | 0.904614i | \(-0.359841\pi\) | ||||
0.426231 | + | 0.904614i | \(0.359841\pi\) | |||||||
\(468\) | −10.1484 | − | 7.63437i | −0.469109 | − | 0.352899i | ||||
\(469\) | 8.93837 | 0.412736 | ||||||||
\(470\) | 44.8193 | − | 44.8193i | 2.06736 | − | 2.06736i | ||||
\(471\) | 5.75323 | + | 10.9208i | 0.265095 | + | 0.503203i | ||||
\(472\) | 0.270306i | 0.0124419i | ||||||||
\(473\) | −3.25716 | − | 12.1559i | −0.149764 | − | 0.558928i | ||||
\(474\) | 33.2936 | − | 30.8097i | 1.52923 | − | 1.41513i | ||||
\(475\) | −4.08962 | − | 15.2627i | −0.187645 | − | 0.700300i | ||||
\(476\) | −1.08209 | − | 1.08209i | −0.0495977 | − | 0.0495977i | ||||
\(477\) | 26.8298 | − | 12.8327i | 1.22845 | − | 0.587570i | ||||
\(478\) | −2.73204 | − | 1.57734i | −0.124961 | − | 0.0721460i | ||||
\(479\) | −18.5924 | − | 18.5924i | −0.849508 | − | 0.849508i | 0.140564 | − | 0.990072i | \(-0.455109\pi\) |
−0.990072 | + | 0.140564i | \(0.955109\pi\) | |||||||
\(480\) | −29.3623 | + | 15.4685i | −1.34020 | + | 0.706038i | ||||
\(481\) | −5.31774 | + | 4.87023i | −0.242468 | + | 0.222063i | ||||
\(482\) | −5.74436 | − | 3.31651i | −0.261648 | − | 0.151063i | ||||
\(483\) | 2.58884 | + | 11.4124i | 0.117796 | + | 0.519283i | ||||
\(484\) | 24.5581 | 1.11628 | ||||||||
\(485\) | −13.5581 | − | 23.4834i | −0.615643 | − | 1.06632i | ||||
\(486\) | 24.9412 | + | 12.2160i | 1.13136 | + | 0.554131i | ||||
\(487\) | 2.78418 | − | 10.3907i | 0.126163 | − | 0.470848i | −0.873715 | − | 0.486438i | \(-0.838296\pi\) |
0.999878 | + | 0.0155901i | \(0.00496269\pi\) | |||||||
\(488\) | 14.8395 | − | 3.97623i | 0.671753 | − | 0.179996i | ||||
\(489\) | −7.33992 | + | 6.79231i | −0.331923 | + | 0.307159i | ||||
\(490\) | −5.77516 | −0.260895 | ||||||||
\(491\) | 5.26725 | + | 9.12315i | 0.237708 | + | 0.411722i | 0.960056 | − | 0.279807i | \(-0.0902706\pi\) |
−0.722348 | + | 0.691529i | \(0.756937\pi\) | |||||||
\(492\) | 1.28607 | + | 1.38976i | 0.0579806 | + | 0.0626551i | ||||
\(493\) | 8.67522 | − | 5.00864i | 0.390712 | − | 0.225578i | ||||
\(494\) | 9.90557 | − | 15.5396i | 0.445673 | − | 0.699159i | ||||
\(495\) | −54.7757 | − | 4.25143i | −2.46198 | − | 0.191087i | ||||
\(496\) | −43.2306 | + | 11.5836i | −1.94111 | + | 0.520119i | ||||
\(497\) | − | 7.25519i | − | 0.325440i | ||||||
\(498\) | −1.23357 | + | 31.8347i | −0.0552777 | + | 1.42655i | ||||
\(499\) | 35.7209 | − | 9.57140i | 1.59909 | − | 0.428475i | 0.654321 | − | 0.756216i | \(-0.272954\pi\) |
0.944767 | + | 0.327742i | \(0.106288\pi\) | |||||||
\(500\) | 1.36670 | − | 1.36670i | 0.0611207 | − | 0.0611207i | ||||
\(501\) | −1.62728 | − | 1.75848i | −0.0727016 | − | 0.0785630i | ||||
\(502\) | −6.95959 | − | 1.86482i | −0.310622 | − | 0.0832308i | ||||
\(503\) | 2.26001 | − | 1.30482i | 0.100769 | − | 0.0581790i | −0.448769 | − | 0.893648i | \(-0.648137\pi\) |
0.549538 | + | 0.835469i | \(0.314804\pi\) | |||||||
\(504\) | −4.40125 | − | 0.341604i | −0.196047 | − | 0.0152162i | ||||
\(505\) | 7.29522 | + | 27.2261i | 0.324633 | + | 1.21155i | ||||
\(506\) | 34.0019 | + | 58.8931i | 1.51157 | + | 2.61812i | ||||
\(507\) | −8.70769 | − | 20.7648i | −0.386722 | − | 0.922196i | ||||
\(508\) | −5.45944 | + | 9.45603i | −0.242223 | + | 0.419543i | ||||
\(509\) | −0.0793252 | − | 0.0212551i | −0.00351603 | − | 0.000942117i | 0.257061 | − | 0.966395i | \(-0.417246\pi\) |
−0.260577 | + | 0.965453i | \(0.583913\pi\) | |||||||
\(510\) | 11.0305 | + | 6.95140i | 0.488439 | + | 0.307813i | ||||
\(511\) | −11.3078 | − | 6.52856i | −0.500227 | − | 0.288806i | ||||
\(512\) | −10.4298 | + | 10.4298i | −0.460938 | + | 0.460938i | ||||
\(513\) | −5.50141 | + | 13.8546i | −0.242893 | + | 0.611694i | ||||
\(514\) | −49.3301 | − | 13.2180i | −2.17586 | − | 0.583019i | ||||
\(515\) | −0.894729 | + | 3.33917i | −0.0394265 | + | 0.147142i | ||||
\(516\) | −2.11130 | − | 4.00766i | −0.0929447 | − | 0.176428i | ||||
\(517\) | 53.6982 | − | 31.0027i | 2.36165 | − | 1.36350i | ||||
\(518\) | 0.922196 | − | 3.44168i | 0.0405190 | − | 0.151219i | ||||
\(519\) | −15.2412 | − | 28.9308i | −0.669014 | − | 1.26992i | ||||
\(520\) | −17.1818 | − | 0.754718i | −0.753472 | − | 0.0330966i | ||||
\(521\) | − | 39.4775i | − | 1.72954i | −0.502169 | − | 0.864770i | \(-0.667464\pi\) | ||
0.502169 | − | 0.864770i | \(-0.332536\pi\) | |||||||
\(522\) | −13.6696 | + | 38.7346i | −0.598301 | + | 1.69537i | ||||
\(523\) | 7.91060 | − | 13.7016i | 0.345906 | − | 0.599127i | −0.639612 | − | 0.768698i | \(-0.720905\pi\) |
0.985518 | + | 0.169571i | \(0.0542382\pi\) | |||||||
\(524\) | 4.37296 | − | 7.57419i | 0.191034 | − | 0.330880i | ||||
\(525\) | 9.30352 | − | 2.11045i | 0.406039 | − | 0.0921077i | ||||
\(526\) | −23.8246 | − | 23.8246i | −1.03880 | − | 1.03880i | ||||
\(527\) | 8.30030 | + | 8.30030i | 0.361567 | + | 0.361567i | ||||
\(528\) | −47.4252 | + | 10.7581i | −2.06392 | + | 0.468188i | ||||
\(529\) | −11.3242 | + | 19.6141i | −0.492356 | + | 0.852786i | ||||
\(530\) | −28.6263 | + | 49.5823i | −1.24345 | + | 2.15372i | ||||
\(531\) | −0.183395 | + | 0.519674i | −0.00795866 | + | 0.0225519i | ||||
\(532\) | 3.36816i | 0.146028i | ||||||||
\(533\) | 0.725791 | + | 3.27793i | 0.0314375 | + | 0.141983i | ||||
\(534\) | 23.7411 | + | 45.0653i | 1.02738 | + | 1.95017i | ||||
\(535\) | 15.0855 | − | 56.2999i | 0.652204 | − | 2.43406i | ||||
\(536\) | −11.3906 | + | 6.57638i | −0.492000 | + | 0.284056i | ||||
\(537\) | −0.00749623 | − | 0.0142293i | −0.000323486 | − | 0.000614041i | ||||
\(538\) | 6.53074 | − | 24.3731i | 0.281560 | − | 1.05080i | ||||
\(539\) | −5.45704 | − | 1.46221i | −0.235052 | − | 0.0629819i | ||||
\(540\) | −19.5662 | + | 2.86933i | −0.841996 | + | 0.123477i | ||||
\(541\) | 9.64108 | − | 9.64108i | 0.414502 | − | 0.414502i | −0.468801 | − | 0.883304i | \(-0.655314\pi\) |
0.883304 | + | 0.468801i | \(0.155314\pi\) | |||||||
\(542\) | −5.45597 | − | 3.15001i | −0.234354 | − | 0.135304i | ||||
\(543\) | 12.1917 | + | 7.68318i | 0.523195 | + | 0.329717i | ||||
\(544\) | 7.44209 | + | 1.99410i | 0.319077 | + | 0.0854964i | ||||
\(545\) | 10.7861 | − | 18.6820i | 0.462024 | − | 0.800249i | ||||
\(546\) | 9.14340 | + | 6.33927i | 0.391302 | + | 0.271296i | ||||
\(547\) | 5.42894 | + | 9.40321i | 0.232125 | + | 0.402052i | 0.958433 | − | 0.285317i | \(-0.0920989\pi\) |
−0.726308 | + | 0.687369i | \(0.758766\pi\) | |||||||
\(548\) | 2.83530 | + | 10.5815i | 0.121118 | + | 0.452018i | ||||
\(549\) | 31.2273 | + | 2.42371i | 1.33275 | + | 0.103441i | ||||
\(550\) | 48.0103 | − | 27.7188i | 2.04717 | − | 1.18193i | ||||
\(551\) | −21.2964 | − | 5.70635i | −0.907257 | − | 0.243099i | ||||
\(552\) | −11.6957 | − | 12.6387i | −0.497804 | − | 0.537938i | ||||
\(553\) | −10.3946 | + | 10.3946i | −0.442024 | + | 0.442024i | ||||
\(554\) | −9.76943 | + | 2.61771i | −0.415063 | + | 0.111216i | ||||
\(555\) | −0.434786 | + | 11.2205i | −0.0184556 | + | 0.476283i | ||||
\(556\) | 8.85718i | 0.375628i | ||||||||
\(557\) | −27.8212 | + | 7.45466i | −1.17882 | + | 0.315864i | −0.794459 | − | 0.607318i | \(-0.792245\pi\) |
−0.384362 | + | 0.923182i | \(0.625579\pi\) | |||||||
\(558\) | −47.9889 | − | 3.72467i | −2.03153 | − | 0.157678i | ||||
\(559\) | 0.352450 | − | 8.02383i | 0.0149071 | − | 0.339372i | ||||
\(560\) | 13.9514 | − | 8.05486i | 0.589555 | − | 0.340380i | ||||
\(561\) | 8.66287 | + | 9.36130i | 0.365747 | + | 0.395234i | ||||
\(562\) | 5.45791 | + | 9.45337i | 0.230228 | + | 0.398766i | ||||
\(563\) | −23.4854 | −0.989790 | −0.494895 | − | 0.868953i | \(-0.664794\pi\) | ||||
−0.494895 | + | 0.868953i | \(0.664794\pi\) | |||||||
\(564\) | 16.3808 | − | 15.1586i | 0.689755 | − | 0.638294i | ||||
\(565\) | −16.2133 | + | 4.34435i | −0.682100 | + | 0.182768i | ||||
\(566\) | −7.75382 | + | 28.9377i | −0.325917 | + | 1.21634i | ||||
\(567\) | −8.22980 | − | 3.64286i | −0.345619 | − | 0.152986i | ||||
\(568\) | 5.33799 | + | 9.24567i | 0.223977 | + | 0.387940i | ||||
\(569\) | 28.1896 | 1.18177 | 0.590884 | − | 0.806757i | \(-0.298779\pi\) | ||||
0.590884 | + | 0.806757i | \(0.298779\pi\) | |||||||
\(570\) | −6.34836 | − | 27.9855i | −0.265904 | − | 1.17218i | ||||
\(571\) | 12.5436 | + | 7.24203i | 0.524931 | + | 0.303069i | 0.738950 | − | 0.673760i | \(-0.235322\pi\) |
−0.214019 | + | 0.976830i | \(0.568655\pi\) | |||||||
\(572\) | 22.8064 | + | 7.19745i | 0.953584 | + | 0.300941i | ||||
\(573\) | −19.0936 | + | 10.0588i | −0.797647 | + | 0.420212i | ||||
\(574\) | −1.17304 | − | 1.17304i | −0.0489617 | − | 0.0489617i | ||||
\(575\) | 32.2275 | + | 18.6065i | 1.34398 | + | 0.775946i | ||||
\(576\) | −1.60084 | + | 0.765683i | −0.0667015 | + | 0.0319035i | ||||
\(577\) | 19.0712 | + | 19.0712i | 0.793943 | + | 0.793943i | 0.982133 | − | 0.188190i | \(-0.0602620\pi\) |
−0.188190 | + | 0.982133i | \(0.560262\pi\) | |||||||
\(578\) | 7.05544 | + | 26.3313i | 0.293468 | + | 1.09524i | ||||
\(579\) | −20.6581 | + | 19.1169i | −0.858523 | + | 0.794471i | ||||
\(580\) | −7.57007 | − | 28.2519i | −0.314330 | − | 1.17309i | ||||
\(581\) | − | 10.3242i | − | 0.428322i | ||||||
\(582\) | −12.0313 | − | 22.8378i | −0.498713 | − | 0.946657i | ||||
\(583\) | −39.6032 | + | 39.6032i | −1.64020 | + | 1.64020i | ||||
\(584\) | 19.2135 | 0.795059 | ||||||||
\(585\) | −32.5206 | − | 13.1083i | −1.34456 | − | 0.541963i | ||||
\(586\) | −23.5613 | −0.973309 | ||||||||
\(587\) | −7.00621 | + | 7.00621i | −0.289177 | + | 0.289177i | −0.836755 | − | 0.547578i | \(-0.815550\pi\) |
0.547578 | + | 0.836755i | \(0.315550\pi\) | |||||||
\(588\) | −2.03200 | − | 0.0787385i | −0.0837981 | − | 0.00324712i | ||||
\(589\) | − | 25.8358i | − | 1.06454i | ||||||
\(590\) | −0.274573 | − | 1.02472i | −0.0113040 | − | 0.0421871i | ||||
\(591\) | 2.11059 | + | 0.654106i | 0.0868180 | + | 0.0269063i | ||||
\(592\) | 2.57245 | + | 9.60050i | 0.105727 | + | 0.394578i | ||||
\(593\) | 20.2550 | + | 20.2550i | 0.831772 | + | 0.831772i | 0.987759 | − | 0.155987i | \(-0.0498557\pi\) |
−0.155987 | + | 0.987759i | \(0.549856\pi\) | |||||||
\(594\) | −51.9475 | − | 6.06308i | −2.13143 | − | 0.248771i | ||||
\(595\) | −3.65914 | − | 2.11261i | −0.150010 | − | 0.0866085i | ||||
\(596\) | 11.9229 | + | 11.9229i | 0.488382 | + | 0.488382i | ||||
\(597\) | −1.25263 | + | 32.3266i | −0.0512669 | + | 1.32304i | ||||
\(598\) | 9.38233 | + | 42.3739i | 0.383672 | + | 1.73280i | ||||
\(599\) | 35.2059 | + | 20.3261i | 1.43847 | + | 0.830503i | 0.997744 | − | 0.0671366i | \(-0.0213863\pi\) |
0.440730 | + | 0.897640i | \(0.354720\pi\) | |||||||
\(600\) | −10.3032 | + | 9.53450i | −0.420626 | + | 0.389244i | ||||
\(601\) | 22.8249 | 0.931047 | 0.465523 | − | 0.885036i | \(-0.345866\pi\) | ||||
0.465523 | + | 0.885036i | \(0.345866\pi\) | |||||||
\(602\) | 1.98429 | + | 3.43690i | 0.0808738 | + | 0.140077i | ||||
\(603\) | −26.3608 | + | 4.91514i | −1.07349 | + | 0.200160i | ||||
\(604\) | −2.72806 | + | 10.1813i | −0.111003 | + | 0.414269i | ||||
\(605\) | 65.4950 | − | 17.5493i | 2.66275 | − | 0.713482i | ||||
\(606\) | 5.93588 | + | 26.1672i | 0.241129 | + | 1.06297i | ||||
\(607\) | 17.7055 | 0.718644 | 0.359322 | − | 0.933214i | \(-0.383008\pi\) | ||||
0.359322 | + | 0.933214i | \(0.383008\pi\) | |||||||
\(608\) | −8.47878 | − | 14.6857i | −0.343860 | − | 0.595583i | ||||
\(609\) | 3.94047 | − | 12.7146i | 0.159676 | − | 0.515223i | ||||
\(610\) | −52.2170 | + | 30.1475i | −2.11420 | + | 1.22064i | ||||
\(611\) | 38.6362 | − | 8.55474i | 1.56305 | − | 0.346088i | ||||
\(612\) | 3.78632 | + | 2.59625i | 0.153053 | + | 0.104947i | ||||
\(613\) | −23.6564 | + | 6.33870i | −0.955472 | + | 0.256018i | −0.702682 | − | 0.711504i | \(-0.748015\pi\) |
−0.252789 | + | 0.967521i | \(0.581348\pi\) | |||||||
\(614\) | 6.61548i | 0.266979i | ||||||||
\(615\) | 4.42300 | + | 2.78737i | 0.178352 | + | 0.112397i | ||||
\(616\) | 8.03001 | − | 2.15164i | 0.323538 | − | 0.0866918i | ||||
\(617\) | −23.4800 | + | 23.4800i | −0.945268 | + | 0.945268i | −0.998578 | − | 0.0533097i | \(-0.983023\pi\) |
0.0533097 | + | 0.998578i | \(0.483023\pi\) | |||||||
\(618\) | −0.974172 | + | 3.14334i | −0.0391869 | + | 0.126444i | ||||
\(619\) | 27.0542 | + | 7.24914i | 1.08740 | + | 0.291368i | 0.757623 | − | 0.652692i | \(-0.226360\pi\) |
0.329775 | + | 0.944060i | \(0.393027\pi\) | |||||||
\(620\) | 29.6820 | − | 17.1369i | 1.19206 | − | 0.688234i | ||||
\(621\) | −13.9105 | − | 32.2336i | −0.558210 | − | 1.29349i | ||||
\(622\) | −0.295934 | − | 1.10444i | −0.0118659 | − | 0.0442840i | ||||
\(623\) | −8.25336 | − | 14.2952i | −0.330664 | − | 0.572727i | ||||
\(624\) | −30.9299 | − | 2.56148i | −1.23819 | − | 0.102541i | ||||
\(625\) | −11.1014 | + | 19.2282i | −0.444056 | + | 0.769127i | ||||
\(626\) | 24.2278 | + | 6.49183i | 0.968339 | + | 0.259466i | ||||
\(627\) | 1.08697 | − | 28.0513i | 0.0434093 | − | 1.12026i | ||||
\(628\) | −7.24599 | − | 4.18347i | −0.289146 | − | 0.166939i | ||||
\(629\) | 1.84330 | − | 1.84330i | 0.0734972 | − | 0.0734972i | ||||
\(630\) | 17.0320 | − | 3.17571i | 0.678569 | − | 0.126524i | ||||
\(631\) | −9.56188 | − | 2.56210i | −0.380652 | − | 0.101996i | 0.0634188 | − | 0.997987i | \(-0.479800\pi\) |
−0.444071 | + | 0.895991i | \(0.646466\pi\) | |||||||
\(632\) | 5.59858 | − | 20.8942i | 0.222700 | − | 0.831127i | ||||
\(633\) | −33.3336 | − | 1.29165i | −1.32489 | − | 0.0513386i | ||||
\(634\) | −3.98105 | + | 2.29846i | −0.158108 | + | 0.0912836i | ||||
\(635\) | −7.80267 | + | 29.1200i | −0.309640 | + | 1.15559i | ||||
\(636\) | −10.7482 | + | 17.0553i | −0.426194 | + | 0.676285i | ||||
\(637\) | −3.04038 | − | 1.93806i | −0.120464 | − | 0.0767889i | ||||
\(638\) | − | 77.3533i | − | 3.06245i | ||||||
\(639\) | 3.98957 | + | 21.3968i | 0.157825 | + | 0.846445i | ||||
\(640\) | −17.4529 | + | 30.2293i | −0.689886 | + | 1.19492i | ||||
\(641\) | 12.2456 | − | 21.2100i | 0.483672 | − | 0.837745i | −0.516152 | − | 0.856497i | \(-0.672636\pi\) |
0.999824 | + | 0.0187522i | \(0.00596935\pi\) | |||||||
\(642\) | 16.4250 | − | 52.9981i | 0.648242 | − | 2.09167i | ||||
\(643\) | −10.5449 | − | 10.5449i | −0.415849 | − | 0.415849i | 0.467921 | − | 0.883770i | \(-0.345003\pi\) |
−0.883770 | + | 0.467921i | \(0.845003\pi\) | |||||||
\(644\) | −5.60901 | − | 5.60901i | −0.221026 | − | 0.221026i | ||||
\(645\) | −8.49459 | − | 9.17944i | −0.334474 | − | 0.361440i | ||||
\(646\) | −3.33099 | + | 5.76944i | −0.131056 | + | 0.226996i | ||||
\(647\) | 0.480453 | − | 0.832169i | 0.0188885 | − | 0.0327159i | −0.856427 | − | 0.516269i | \(-0.827321\pi\) |
0.875315 | + | 0.483553i | \(0.160654\pi\) | |||||||
\(648\) | 13.1679 | − | 1.41276i | 0.517283 | − | 0.0554985i | ||||
\(649\) | − | 1.03779i | − | 0.0407370i | ||||||
\(650\) | 34.5437 | − | 7.64858i | 1.35491 | − | 0.300002i | ||||
\(651\) | 15.5866 | + | 0.603971i | 0.610887 | + | 0.0236715i | ||||
\(652\) | 1.75447 | − | 6.54776i | 0.0687102 | − | 0.256430i | ||||
\(653\) | −5.64226 | + | 3.25756i | −0.220799 | + | 0.127478i | −0.606320 | − | 0.795221i | \(-0.707355\pi\) |
0.385521 | + | 0.922699i | \(0.374022\pi\) | |||||||
\(654\) | 10.9486 | − | 17.3733i | 0.428125 | − | 0.679349i | ||||
\(655\) | 6.24987 | − | 23.3248i | 0.244203 | − | 0.911377i | ||||
\(656\) | 4.46987 | + | 1.19770i | 0.174519 | + | 0.0467623i | ||||
\(657\) | 36.9386 | + | 13.0358i | 1.44111 | + | 0.508574i | ||||
\(658\) | −13.8264 | + | 13.8264i | −0.539008 | + | 0.539008i | ||||
\(659\) | −10.4048 | − | 6.00721i | −0.405313 | − | 0.234008i | 0.283461 | − | 0.958984i | \(-0.408517\pi\) |
−0.688774 | + | 0.724976i | \(0.741851\pi\) | |||||||
\(660\) | 32.9483 | − | 17.3577i | 1.28251 | − | 0.675646i | ||||
\(661\) | −17.1404 | − | 4.59276i | −0.666684 | − | 0.178638i | −0.0904236 | − | 0.995903i | \(-0.528822\pi\) |
−0.576261 | + | 0.817266i | \(0.695489\pi\) | |||||||
\(662\) | 5.08510 | − | 8.80766i | 0.197638 | − | 0.342319i | ||||
\(663\) | 3.47430 | + | 7.36130i | 0.134931 | + | 0.285889i | ||||
\(664\) | 7.59604 | + | 13.1567i | 0.294783 | + | 0.510580i | ||||
\(665\) | 2.40690 | + | 8.98266i | 0.0933355 | + | 0.348333i | ||||
\(666\) | −0.827162 | + | 10.6572i | −0.0320519 | + | 0.412959i | ||||
\(667\) | 44.9678 | − | 25.9622i | 1.74116 | − | 1.00526i | ||||
\(668\) | 1.56869 | + | 0.420330i | 0.0606946 | + | 0.0162631i | ||||
\(669\) | 18.7080 | − | 4.24381i | 0.723294 | − | 0.164075i | ||||
\(670\) | 36.5012 | − | 36.5012i | 1.41017 | − | 1.41017i | ||||
\(671\) | −56.9737 | + | 15.2661i | −2.19944 | + | 0.589339i | ||||
\(672\) | 9.05802 | − | 4.77190i | 0.349421 | − | 0.184080i | ||||
\(673\) | 27.7483i | 1.06962i | 0.844973 | + | 0.534808i | \(0.179616\pi\) | ||||
−0.844973 | + | 0.534808i | \(0.820384\pi\) | |||||||
\(674\) | −33.7148 | + | 9.03386i | −1.29865 | + | 0.347971i | ||||
\(675\) | −26.2772 | + | 11.3400i | −1.01141 | + | 0.436478i | ||||
\(676\) | 12.4979 | + | 8.76093i | 0.480687 | + | 0.336959i | ||||
\(677\) | −13.7966 | + | 7.96546i | −0.530246 | + | 0.306137i | −0.741116 | − | 0.671376i | \(-0.765703\pi\) |
0.210871 | + | 0.977514i | \(0.432370\pi\) | |||||||
\(678\) | −15.5827 | + | 3.53486i | −0.598451 | + | 0.135755i | ||||
\(679\) | 4.18256 | + | 7.24441i | 0.160512 | + | 0.278015i | ||||
\(680\) | 6.21738 | 0.238426 | ||||||||
\(681\) | 12.7140 | + | 3.94028i | 0.487202 | + | 0.150992i | ||||
\(682\) | 87.5551 | − | 23.4603i | 3.35266 | − | 0.898342i | ||||
\(683\) | −0.147058 | + | 0.548828i | −0.00562702 | + | 0.0210003i | −0.968682 | − | 0.248304i | \(-0.920127\pi\) |
0.963055 | + | 0.269304i | \(0.0867936\pi\) | |||||||
\(684\) | −1.85212 | − | 9.93328i | −0.0708177 | − | 0.379808i | ||||
\(685\) | 15.1231 | + | 26.1940i | 0.577825 | + | 1.00082i | ||||
\(686\) | 1.78159 | 0.0680213 | ||||||||
\(687\) | 7.49843 | + | 2.32389i | 0.286083 | + | 0.0886618i | ||||
\(688\) | −9.58716 | − | 5.53515i | −0.365507 | − | 0.211026i | ||||
\(689\) | −31.7097 | + | 16.4964i | −1.20804 | + | 0.628462i | ||||
\(690\) | 57.1763 | + | 36.0324i | 2.17666 | + | 1.37173i | ||||
\(691\) | 28.0763 | + | 28.0763i | 1.06807 | + | 1.06807i | 0.997507 | + | 0.0705655i | \(0.0224804\pi\) |
0.0705655 | + | 0.997507i | \(0.477520\pi\) | |||||||
\(692\) | 19.1957 | + | 11.0827i | 0.729712 | + | 0.421300i | ||||
\(693\) | 16.8978 | + | 1.31153i | 0.641895 | + | 0.0498208i | ||||
\(694\) | 6.66981 | + | 6.66981i | 0.253183 | + | 0.253183i | ||||
\(695\) | 6.32937 | + | 23.6215i | 0.240087 | + | 0.896016i | ||||
\(696\) | 4.33321 | + | 19.1021i | 0.164250 | + | 0.724064i | ||||
\(697\) | −0.314129 | − | 1.17235i | −0.0118985 | − | 0.0444058i | ||||
\(698\) | 27.7473i | 1.05025i | ||||||||
\(699\) | 14.1838 | − | 22.5069i | 0.536482 | − | 0.851290i | ||||
\(700\) | −4.57252 | + | 4.57252i | −0.172825 | + | 0.172825i | ||||
\(701\) | −19.1453 | −0.723110 | −0.361555 | − | 0.932351i | \(-0.617754\pi\) | ||||
−0.361555 | + | 0.932351i | \(0.617754\pi\) | |||||||
\(702\) | −30.4514 | − | 13.6677i | −1.14931 | − | 0.515854i | ||||
\(703\) | −5.73752 | −0.216395 | ||||||||
\(704\) | 2.36298 | − | 2.36298i | 0.0890582 | − | 0.0890582i | ||||
\(705\) | 32.8541 | − | 52.1329i | 1.23736 | − | 1.96344i | ||||
\(706\) | − | 23.3564i | − | 0.879030i | ||||||
\(707\) | −2.25051 | − | 8.39902i | −0.0846392 | − | 0.315878i | ||||
\(708\) | −0.0826377 | − | 0.364292i | −0.00310572 | − | 0.0136909i | ||||
\(709\) | −6.95745 | − | 25.9656i | −0.261293 | − | 0.975157i | −0.964481 | − | 0.264154i | \(-0.914907\pi\) |
0.703188 | − | 0.711004i | \(-0.251759\pi\) | |||||||
\(710\) | −29.6277 | − | 29.6277i | −1.11191 | − | 1.11191i | ||||
\(711\) | 24.9396 | − | 36.3714i | 0.935308 | − | 1.36403i | ||||
\(712\) | 21.0354 | + | 12.1448i | 0.788334 | + | 0.455145i | ||||
\(713\) | 43.0244 | + | 43.0244i | 1.61128 | + | 1.61128i | ||||
\(714\) | −3.40281 | − | 2.14445i | −0.127347 | − | 0.0802539i | ||||
\(715\) | 65.9666 | + | 2.89761i | 2.46701 | + | 0.108364i | ||||
\(716\) | 0.00944124 | + | 0.00545090i | 0.000352836 | + | 0.000203710i | ||||
\(717\) | −2.92951 | − | 0.907903i | −0.109405 | − | 0.0339062i | ||||
\(718\) | −49.3188 | −1.84056 | ||||||||
\(719\) | 21.6865 | + | 37.5621i | 0.808770 | + | 1.40083i | 0.913716 | + | 0.406353i | \(0.133200\pi\) |
−0.104946 | + | 0.994478i | \(0.533467\pi\) | |||||||
\(720\) | −36.7158 | + | 31.4269i | −1.36832 | + | 1.17121i | ||||
\(721\) | 0.276016 | − | 1.03011i | 0.0102794 | − | 0.0383631i | ||||
\(722\) | −18.5336 | + | 4.96607i | −0.689749 | + | 0.184818i | ||||
\(723\) | −6.15956 | − | 1.90895i | −0.229076 | − | 0.0709945i | ||||
\(724\) | −9.76816 | −0.363031 | ||||||||
\(725\) | −21.1646 | − | 36.6582i | −0.786035 | − | 1.36145i | ||||
\(726\) | 62.9476 | − | 14.2793i | 2.33620 | − | 0.529955i | ||||
\(727\) | 6.19981 | − | 3.57946i | 0.229938 | − | 0.132755i | −0.380605 | − | 0.924738i | \(-0.624284\pi\) |
0.610544 | + | 0.791983i | \(0.290951\pi\) | |||||||
\(728\) | 5.30044 | + | 0.232824i | 0.196447 | + | 0.00862903i | ||||
\(729\) | 26.2743 | + | 6.21794i | 0.973121 | + | 0.230294i | ||||
\(730\) | −72.8375 | + | 19.5168i | −2.69584 | + | 0.722348i | ||||
\(731\) | 2.90349i | 0.107389i | ||||||||
\(732\) | −18.7836 | + | 9.89550i | −0.694263 | + | 0.365748i | ||||
\(733\) | −33.5063 | + | 8.97798i | −1.23758 | + | 0.331609i | −0.817528 | − | 0.575889i | \(-0.804656\pi\) |
−0.420055 | + | 0.907499i | \(0.637989\pi\) | |||||||
\(734\) | −6.36828 | + | 6.36828i | −0.235057 | + | 0.235057i | ||||
\(735\) | −5.47547 | + | 1.24208i | −0.201966 | + | 0.0458149i | ||||
\(736\) | 38.5759 | + | 10.3364i | 1.42193 | + | 0.381004i | ||||
\(737\) | 43.7323 | − | 25.2489i | 1.61090 | − | 0.930054i | ||||
\(738\) | 4.10454 | + | 2.81445i | 0.151090 | + | 0.103601i | ||||
\(739\) | 3.35697 | + | 12.5284i | 0.123488 | + | 0.460864i | 0.999781 | − | 0.0209145i | \(-0.00665778\pi\) |
−0.876293 | + | 0.481778i | \(0.839991\pi\) | |||||||
\(740\) | −3.80570 | − | 6.59167i | −0.139900 | − | 0.242315i | ||||
\(741\) | 6.04940 | − | 16.8636i | 0.222230 | − | 0.619500i | ||||
\(742\) | 8.83097 | − | 15.2957i | 0.324195 | − | 0.561523i | ||||
\(743\) | −31.9105 | − | 8.55039i | −1.17068 | − | 0.313684i | −0.379458 | − | 0.925209i | \(-0.623890\pi\) |
−0.791225 | + | 0.611525i | \(0.790556\pi\) | |||||||
\(744\) | −20.3072 | + | 10.6981i | −0.744498 | + | 0.392213i | ||||
\(745\) | 40.3178 | + | 23.2775i | 1.47713 | + | 0.852822i | ||||
\(746\) | 31.6938 | − | 31.6938i | 1.16039 | − | 1.16039i | ||||
\(747\) | 5.67722 | + | 30.4480i | 0.207719 | + | 1.11403i | ||||
\(748\) | −8.35098 | − | 2.23764i | −0.305342 | − | 0.0818161i | ||||
\(749\) | −4.65375 | + | 17.3680i | −0.170044 | + | 0.634614i | ||||
\(750\) | 2.70847 | − | 4.29780i | 0.0988993 | − | 0.156934i | ||||
\(751\) | −27.3383 | + | 15.7838i | −0.997589 | + | 0.575958i | −0.907534 | − | 0.419978i | \(-0.862038\pi\) |
−0.0900551 | + | 0.995937i | \(0.528704\pi\) | |||||||
\(752\) | 14.1170 | − | 52.6854i | 0.514794 | − | 1.92124i | ||||
\(753\) | −6.99951 | − | 0.271226i | −0.255076 | − | 0.00988403i | ||||
\(754\) | 14.8574 | − | 47.0783i | 0.541074 | − | 1.71449i | ||||
\(755\) | 29.1022i | 1.05914i | ||||||||
\(756\) | 6.03601 | − | 0.885165i | 0.219527 | − | 0.0321931i | ||||
\(757\) | 16.9266 | − | 29.3177i | 0.615207 | − | 1.06557i | −0.375141 | − | 0.926968i | \(-0.622406\pi\) |
0.990348 | − | 0.138602i | \(-0.0442610\pi\) | |||||||
\(758\) | −3.49091 | + | 6.04643i | −0.126796 | + | 0.219616i | ||||
\(759\) | 44.9038 | + | 48.5240i | 1.62990 | + | 1.76131i | ||||
\(760\) | −9.67621 | − | 9.67621i | −0.350993 | − | 0.350993i | ||||
\(761\) | −2.01311 | − | 2.01311i | −0.0729754 | − | 0.0729754i | 0.669677 | − | 0.742652i | \(-0.266433\pi\) |
−0.742652 | + | 0.669677i | \(0.766433\pi\) | |||||||
\(762\) | −8.49547 | + | 27.4121i | −0.307758 | + | 0.993037i | ||||
\(763\) | −3.32740 | + | 5.76323i | −0.120460 | + | 0.208643i | ||||
\(764\) | 7.31428 | − | 12.6687i | 0.264621 | − | 0.458338i | ||||
\(765\) | 11.9532 | + | 4.21831i | 0.432167 | + | 0.152513i | ||||
\(766\) | 42.8434i | 1.54799i | ||||||||
\(767\) | 0.199331 | − | 0.631615i | 0.00719741 | − | 0.0228063i | ||||
\(768\) | −18.8084 | + | 29.8452i | −0.678689 | + | 1.07695i | ||||
\(769\) | 2.86284 | − | 10.6843i | 0.103237 | − | 0.385284i | −0.894903 | − | 0.446262i | \(-0.852755\pi\) |
0.998139 | + | 0.0609775i | \(0.0194218\pi\) | |||||||
\(770\) | −28.2559 | + | 16.3135i | −1.01827 | + | 0.587899i | ||||
\(771\) | −49.6130 | − | 1.92247i | −1.78677 | − | 0.0692361i | ||||
\(772\) | 4.93793 | − | 18.4286i | 0.177720 | − | 0.663260i | ||||
\(773\) | −12.3256 | − | 3.30264i | −0.443322 | − | 0.118788i | 0.0302510 | − | 0.999542i | \(-0.490369\pi\) |
−0.473573 | + | 0.880755i | \(0.657036\pi\) | |||||||
\(774\) | −7.74194 | − | 9.04486i | −0.278278 | − | 0.325111i | ||||
\(775\) | 35.0739 | − | 35.0739i | 1.25989 | − | 1.25989i | ||||
\(776\) | −10.6601 | − | 6.15462i | −0.382676 | − | 0.220938i | ||||
\(777\) | 0.134128 | − | 3.46142i | 0.00481181 | − | 0.124178i | ||||
\(778\) | 28.9135 | + | 7.74734i | 1.03660 | + | 0.277755i | ||||
\(779\) | −1.33566 | + | 2.31342i | −0.0478549 | + | 0.0828870i | ||||
\(780\) | 23.3867 | − | 4.23567i | 0.837378 | − | 0.151661i | ||||
\(781\) | −20.4943 | − | 35.4971i | −0.733343 | − | 1.27019i | ||||
\(782\) | −4.06076 | − | 15.1550i | −0.145213 | − | 0.541941i | ||||
\(783\) | −4.62946 | + | 39.6645i | −0.165444 | + | 1.41749i | ||||
\(784\) | −4.30389 | + | 2.48485i | −0.153710 | + | 0.0887447i | ||||
\(785\) | −22.3141 | − | 5.97905i | −0.796425 | − | 0.213401i | ||||
\(786\) | 6.80480 | − | 21.9569i | 0.242719 | − | 0.783176i | ||||
\(787\) | −27.2684 | + | 27.2684i | −0.972014 | + | 0.972014i | −0.999619 | − | 0.0276046i | \(-0.991212\pi\) |
0.0276046 | + | 0.999619i | \(0.491212\pi\) | |||||||
\(788\) | −1.44674 | + | 0.387652i | −0.0515379 | + | 0.0138095i | ||||
\(789\) | −27.7123 | − | 17.4642i | −0.986582 | − | 0.621742i | ||||
\(790\) | 84.8960i | 3.02047i | ||||||||
\(791\) | 5.00167 | − | 1.34019i | 0.177839 | − | 0.0476518i | ||||
\(792\) | −22.4987 | + | 10.7612i | −0.799457 | + | 0.382382i | ||||
\(793\) | −37.6071 | − | 1.65191i | −1.33547 | − | 0.0586610i | ||||
\(794\) | 21.5472 | − | 12.4403i | 0.764680 | − | 0.441488i | ||||
\(795\) | −16.4770 | + | 53.1660i | −0.584380 | + | 1.88560i | ||||
\(796\) | −10.9644 | − | 18.9908i | −0.388621 | − | 0.673112i | ||||
\(797\) | −31.6987 | −1.12282 | −0.561412 | − | 0.827536i | \(-0.689742\pi\) | ||||
−0.561412 | + | 0.827536i | \(0.689742\pi\) | |||||||
\(798\) | 1.95841 | + | 8.63328i | 0.0693271 | + | 0.305615i | ||||
\(799\) | −13.8182 | + | 3.70257i | −0.488853 | + | 0.130988i | ||||
\(800\) | 8.42632 | − | 31.4475i | 0.297916 | − | 1.11184i | ||||
\(801\) | 32.2014 | + | 37.6207i | 1.13778 | + | 1.32926i | ||||
\(802\) | 9.84142 | + | 17.0458i | 0.347513 | + | 0.601910i | ||||
\(803\) | −73.7668 | −2.60317 | ||||||||
\(804\) | 13.3407 | − | 12.3453i | 0.470488 | − | 0.435386i | ||||
\(805\) | −18.9671 | − | 10.9506i | −0.668502 | − | 0.385960i | ||||
\(806\) | 57.7933 | + | 2.53859i | 2.03568 | + | 0.0894181i | ||||
\(807\) | 0.949857 | − | 24.5129i | 0.0334365 | − | 0.862894i | ||||
\(808\) | 9.04750 | + | 9.04750i | 0.318290 | + | 0.318290i | ||||
\(809\) | 0.399975 | + | 0.230926i | 0.0140624 | + | 0.00811891i | 0.507015 | − | 0.861937i | \(-0.330749\pi\) |
−0.492952 | + | 0.870056i | \(0.664082\pi\) | |||||||
\(810\) | −48.4839 | + | 18.7315i | −1.70355 | + | 0.658157i | ||||
\(811\) | 3.74404 | + | 3.74404i | 0.131471 | + | 0.131471i | 0.769780 | − | 0.638309i | \(-0.220366\pi\) |
−0.638309 | + | 0.769780i | \(0.720366\pi\) | |||||||
\(812\) | 2.33530 | + | 8.71545i | 0.0819529 | + | 0.305853i | ||||
\(813\) | −5.85032 | − | 1.81311i | −0.205180 | − | 0.0635886i | ||||
\(814\) | −5.20999 | − | 19.4439i | −0.182610 | − | 0.681510i | ||||
\(815\) | − | 18.7162i | − | 0.655600i | ||||||
\(816\) | 11.2113 | + | 0.434432i | 0.392475 | + | 0.0152081i | ||||
\(817\) | 4.51875 | − | 4.51875i | 0.158091 | − | 0.158091i | ||||
\(818\) | 16.8803 | 0.590206 | ||||||||
\(819\) | 10.0323 | + | 4.04381i | 0.350558 | + | 0.141302i | ||||
\(820\) | −3.54377 | −0.123754 | ||||||||
\(821\) | 17.9181 | − | 17.9181i | 0.625344 | − | 0.625344i | −0.321549 | − | 0.946893i | \(-0.604203\pi\) |
0.946893 | + | 0.321549i | \(0.104203\pi\) | |||||||
\(822\) | 13.4200 | + | 25.4739i | 0.468078 | + | 0.888505i | ||||
\(823\) | − | 40.0084i | − | 1.39461i | −0.716776 | − | 0.697303i | \(-0.754383\pi\) | ||
0.716776 | − | 0.697303i | \(-0.245617\pi\) | |||||||
\(824\) | 0.406156 | + | 1.51580i | 0.0141491 | + | 0.0528052i | ||||
\(825\) | 39.5573 | − | 36.6061i | 1.37721 | − | 1.27446i | ||||
\(826\) | 0.0847034 | + | 0.316117i | 0.00294721 | + | 0.0109991i | ||||
\(827\) | 20.7071 | + | 20.7071i | 0.720056 | + | 0.720056i | 0.968616 | − | 0.248560i | \(-0.0799574\pi\) |
−0.248560 | + | 0.968616i | \(0.579957\pi\) | |||||||
\(828\) | 19.6263 | + | 13.4576i | 0.682060 | + | 0.467683i | ||||
\(829\) | 31.4365 | + | 18.1499i | 1.09184 | + | 0.630372i | 0.934065 | − | 0.357104i | \(-0.116236\pi\) |
0.157771 | + | 0.987476i | \(0.449569\pi\) | |||||||
\(830\) | −42.1607 | − | 42.1607i | −1.46342 | − | 1.46342i | ||||
\(831\) | −8.69947 | + | 4.58301i | −0.301781 | + | 0.158983i | ||||
\(832\) | 1.89200 | − | 0.984280i | 0.0655934 | − | 0.0341238i | ||||
\(833\) | 1.12881 | + | 0.651721i | 0.0391111 | + | 0.0225808i | ||||
\(834\) | 5.15000 | + | 22.7028i | 0.178330 | + | 0.786133i | ||||
\(835\) | 4.48398 | 0.155174 | ||||||||
\(836\) | 9.51428 | + | 16.4792i | 0.329058 | + | 0.569946i | ||||
\(837\) | −46.2997 | + | 6.78973i | −1.60035 | + | 0.234688i | ||||
\(838\) | −7.96656 | + | 29.7316i | −0.275200 | + | 1.02706i | ||||
\(839\) | 21.6892 | − | 5.81161i | 0.748795 | − | 0.200639i | 0.135811 | − | 0.990735i | \(-0.456636\pi\) |
0.612983 | + | 0.790096i | \(0.289969\pi\) | |||||||
\(840\) | 6.06382 | − | 5.61141i | 0.209222 | − | 0.193612i | ||||
\(841\) | −30.0631 | −1.03666 | ||||||||
\(842\) | 5.96905 | + | 10.3387i | 0.205707 | + | 0.356295i | ||||
\(843\) | 7.20785 | + | 7.78896i | 0.248251 | + | 0.268266i | ||||
\(844\) | 19.5824 | − | 11.3059i | 0.674053 | − | 0.389165i | ||||
\(845\) | 39.5916 | + | 14.4338i | 1.36199 | + | 0.496539i | ||||
\(846\) | 33.1733 | − | 48.3793i | 1.14052 | − | 1.66332i | ||||
\(847\) | −20.2046 | + | 5.41382i | −0.694240 | + | 0.186021i | ||||
\(848\) | 49.2677i | 1.69186i | ||||||||
\(849\) | −1.12775 | + | 29.1036i | −0.0387042 | + | 0.998834i | ||||
\(850\) | −12.3545 | + | 3.31038i | −0.423756 | + | 0.113545i | ||||
\(851\) | 9.55471 | − | 9.55471i | 0.327531 | − | 0.327531i | ||||
\(852\) | −10.0206 | − | 10.8285i | −0.343300 | − | 0.370978i | ||||
\(853\) | 7.79927 | + | 2.08981i | 0.267042 | + | 0.0715537i | 0.389855 | − | 0.920876i | \(-0.372525\pi\) |
−0.122813 | + | 0.992430i | \(0.539192\pi\) | |||||||
\(854\) | 16.1085 | − | 9.30024i | 0.551221 | − | 0.318248i | ||||
\(855\) | −12.0378 | − | 25.1679i | −0.411686 | − | 0.860724i | ||||
\(856\) | −6.84797 | − | 25.5570i | −0.234059 | − | 0.873520i | ||||
\(857\) | −6.31791 | − | 10.9429i | −0.215816 | − | 0.373804i | 0.737709 | − | 0.675119i | \(-0.235908\pi\) |
−0.953525 | + | 0.301315i | \(0.902574\pi\) | |||||||
\(858\) | 62.6425 | + | 5.18778i | 2.13858 | + | 0.177108i | ||||
\(859\) | 13.9783 | − | 24.2111i | 0.476933 | − | 0.826072i | −0.522718 | − | 0.852506i | \(-0.675082\pi\) |
0.999651 | + | 0.0264339i | \(0.00841514\pi\) | |||||||
\(860\) | 8.18875 | + | 2.19417i | 0.279234 | + | 0.0748206i | ||||
\(861\) | −1.36446 | − | 0.859878i | −0.0465005 | − | 0.0293046i | ||||
\(862\) | 1.13282 | + | 0.654033i | 0.0385839 | + | 0.0222764i | ||||
\(863\) | 1.31844 | − | 1.31844i | 0.0448802 | − | 0.0448802i | −0.684311 | − | 0.729191i | \(-0.739897\pi\) |
0.729191 | + | 0.684311i | \(0.239897\pi\) | |||||||
\(864\) | −24.0896 | + | 19.0541i | −0.819546 | + | 0.648234i | ||||
\(865\) | 59.1135 | + | 15.8394i | 2.00992 | + | 0.538557i | ||||
\(866\) | 6.02234 | − | 22.4757i | 0.204647 | − | 0.763755i | ||||
\(867\) | 12.3525 | + | 23.4474i | 0.419512 | + | 0.796317i | ||||
\(868\) | −9.15663 | + | 5.28658i | −0.310796 | + | 0.179438i | ||||
\(869\) | −21.4948 | + | 80.2196i | −0.729161 | + | 2.72126i | ||||
\(870\) | −35.8307 | − | 68.0138i | −1.21477 | − | 2.30588i | ||||
\(871\) | 31.4657 | − | 6.96706i | 1.06617 | − | 0.236070i | ||||
\(872\) | − | 9.79252i | − | 0.331617i | ||||||
\(873\) | −16.3187 | − | 19.0651i | −0.552306 | − | 0.645254i | ||||
\(874\) | −17.2661 | + | 29.9058i | −0.584034 | + | 1.01158i | ||||
\(875\) | −0.823134 | + | 1.42571i | −0.0278270 | + | 0.0481978i | ||||
\(876\) | −25.8940 | + | 5.87392i | −0.874879 | + | 0.198461i | ||||
\(877\) | 5.97566 | + | 5.97566i | 0.201784 | + | 0.201784i | 0.800764 | − | 0.598980i | \(-0.204427\pi\) |
−0.598980 | + | 0.800764i | \(0.704427\pi\) | |||||||
\(878\) | 19.3412 | + | 19.3412i | 0.652735 | + | 0.652735i | ||||
\(879\) | −22.3387 | + | 5.06740i | −0.753464 | + | 0.170919i | ||||
\(880\) | 45.5063 | − | 78.8192i | 1.53402 | − | 2.65699i | ||||
\(881\) | −12.5446 | + | 21.7279i | −0.422639 | + | 0.732032i | −0.996197 | − | 0.0871329i | \(-0.972230\pi\) |
0.573558 | + | 0.819165i | \(0.305563\pi\) | |||||||
\(882\) | −5.25421 | + | 0.979680i | −0.176918 | + | 0.0329876i | ||||
\(883\) | 2.89145i | 0.0973052i | 0.998816 | + | 0.0486526i | \(0.0154927\pi\) | ||||
−0.998816 | + | 0.0486526i | \(0.984507\pi\) | |||||||
\(884\) | −4.65273 | − | 2.96584i | −0.156488 | − | 0.0997520i | ||||
\(885\) | −0.480714 | − | 0.912491i | −0.0161590 | − | 0.0306731i | ||||
\(886\) | −0.791945 | + | 2.95558i | −0.0266059 | + | 0.0992946i | ||||
\(887\) | 35.6147 | − | 20.5622i | 1.19583 | − | 0.690411i | 0.236204 | − | 0.971703i | \(-0.424097\pi\) |
0.959622 | + | 0.281293i | \(0.0907633\pi\) | |||||||
\(888\) | 2.37581 | + | 4.50975i | 0.0797268 | + | 0.151337i | ||||
\(889\) | 2.40706 | − | 8.98325i | 0.0807301 | − | 0.301289i | ||||
\(890\) | −92.0808 | − | 24.6730i | −3.08655 | − | 0.827040i | ||||
\(891\) | −50.5558 | + | 5.42405i | −1.69368 | + | 0.181713i | ||||
\(892\) | −9.19468 | + | 9.19468i | −0.307861 | + | 0.307861i | ||||
\(893\) | 27.2678 | + | 15.7431i | 0.912483 | + | 0.526822i | ||||
\(894\) | 37.4935 | + | 23.6283i | 1.25397 | + | 0.790249i | ||||
\(895\) | 0.0290744 | + | 0.00779047i | 0.000971851 | + | 0.000260407i | ||||
\(896\) | 5.38406 | − | 9.32547i | 0.179869 | − | 0.311542i | ||||
\(897\) | 18.0089 | + | 38.1571i | 0.601301 | + | 1.27403i | ||||
\(898\) | 13.1948 | + | 22.8540i | 0.440316 | + | 0.762649i | ||||
\(899\) | −17.9131 | − | 66.8527i | −0.597436 | − | 2.22966i | ||||
\(900\) | 10.9708 | − | 15.9996i | 0.365692 | − | 0.533318i | ||||
\(901\) | 11.1906 | − | 6.46090i | 0.372813 | − | 0.215244i | ||||
\(902\) | −9.05284 | − | 2.42570i | −0.301427 | − | 0.0807671i | ||||
\(903\) | 2.62051 | + | 2.83178i | 0.0872050 | + | 0.0942357i | ||||
\(904\) | −5.38785 | + | 5.38785i | −0.179197 | + | 0.179197i | ||||
\(905\) | −26.0511 | + | 6.98036i | −0.865967 | + | 0.232035i | ||||
\(906\) | −1.07269 | + | 27.6829i | −0.0356378 | + | 0.919702i | ||||
\(907\) | 15.7209i | 0.522005i | 0.965338 | + | 0.261002i | \(0.0840531\pi\) | ||||
−0.965338 | + | 0.261002i | \(0.915947\pi\) | |||||||
\(908\) | −8.71503 | + | 2.33519i | −0.289219 | + | 0.0774959i | ||||
\(909\) | 11.2557 | + | 23.5326i | 0.373328 | + | 0.780528i | ||||
\(910\) | −20.3303 | + | 4.50148i | −0.673941 | + | 0.149223i | ||||
\(911\) | −15.1724 | + | 8.75981i | −0.502685 | + | 0.290225i | −0.729822 | − | 0.683638i | \(-0.760397\pi\) |
0.227137 | + | 0.973863i | \(0.427064\pi\) | |||||||
\(912\) | −16.7723 | − | 18.1245i | −0.555385 | − | 0.600161i | ||||
\(913\) | −29.1637 | − | 50.5129i | −0.965176 | − | 1.67173i | ||||
\(914\) | −31.5058 | −1.04212 | ||||||||
\(915\) | −43.0234 | + | 39.8135i | −1.42231 | + | 1.31619i | ||||
\(916\) | −5.13992 | + | 1.37724i | −0.169828 | + | 0.0455052i | ||||
\(917\) | −1.92803 | + | 7.19551i | −0.0636692 | + | 0.237617i | ||||
\(918\) | 11.2147 | + | 4.45317i | 0.370140 | + | 0.146976i | ||||
\(919\) | −15.7186 | − | 27.2255i | −0.518510 | − | 0.898085i | −0.999769 | − | 0.0215068i | \(-0.993154\pi\) |
0.481259 | − | 0.876578i | \(-0.340180\pi\) | |||||||
\(920\) | 32.2276 | 1.06251 | ||||||||
\(921\) | 1.42281 | + | 6.27218i | 0.0468832 | + | 0.206675i | ||||
\(922\) | 36.6686 | + | 21.1706i | 1.20761 | + | 0.697217i | ||||
\(923\) | −5.65510 | − | 25.5404i | −0.186140 | − | 0.840672i | ||||
\(924\) | −10.1643 | + | 5.35469i | −0.334380 | + | 0.176156i | ||||
\(925\) | −7.78910 | − | 7.78910i | −0.256104 | − | 0.256104i | ||||
\(926\) | 16.3770 | + | 9.45528i | 0.538182 | + | 0.310720i | ||||
\(927\) | −0.247572 | + | 3.18974i | −0.00813134 | + | 0.104765i | ||||
\(928\) | −32.1220 | − | 32.1220i | −1.05446 | − | 1.05446i | ||||
\(929\) | 4.02723 | + | 15.0298i | 0.132129 | + | 0.493112i | 0.999993 | − | 0.00368927i | \(-0.00117433\pi\) |
−0.867864 | + | 0.496802i | \(0.834508\pi\) | |||||||
\(930\) | 66.1168 | − | 61.1840i | 2.16805 | − | 2.00630i | ||||
\(931\) | −0.742507 | − | 2.77107i | −0.0243347 | − | 0.0908183i | ||||
\(932\) | 18.0329i | 0.590687i | ||||||||
\(933\) | −0.518112 | − | 0.983481i | −0.0169622 | − | 0.0321977i | ||||
\(934\) | −23.2074 | + | 23.2074i | −0.759368 | + | 0.759368i | ||||
\(935\) | −23.8706 | −0.780651 | ||||||||
\(936\) | −15.7599 | + | 2.22803i | −0.515130 | + | 0.0728254i | ||||
\(937\) | −38.3778 | −1.25375 | −0.626874 | − | 0.779121i | \(-0.715666\pi\) | ||||
−0.626874 | + | 0.779121i | \(0.715666\pi\) | |||||||
\(938\) | −11.2603 | + | 11.2603i | −0.367662 | + | 0.367662i | ||||
\(939\) | 24.3668 | + | 0.944197i | 0.795181 | + | 0.0308127i | ||||
\(940\) | 41.7697i | 1.36238i | ||||||||
\(941\) | −9.47106 | − | 35.3465i | −0.308748 | − | 1.15226i | −0.929671 | − | 0.368391i | \(-0.879909\pi\) |
0.620923 | − | 0.783871i | \(-0.286758\pi\) | |||||||
\(942\) | −21.0054 | − | 6.50993i | −0.684394 | − | 0.212105i | ||||
\(943\) | −1.62828 | − | 6.07683i | −0.0530241 | − | 0.197889i | ||||
\(944\) | −0.645525 | − | 0.645525i | −0.0210100 | − | 0.0210100i | ||||
\(945\) | 15.4651 | − | 6.67403i | 0.503080 | − | 0.217106i | ||||
\(946\) | 19.4169 | + | 11.2104i | 0.631298 | + | 0.364480i | ||||
\(947\) | −29.9938 | − | 29.9938i | −0.974668 | − | 0.974668i | 0.0250190 | − | 0.999687i | \(-0.492035\pi\) |
−0.999687 | + | 0.0250190i | \(0.992035\pi\) | |||||||
\(948\) | −1.15747 | + | 29.8708i | −0.0375929 | + | 0.970157i | ||||
\(949\) | −44.8954 | − | 14.1685i | −1.45737 | − | 0.459929i | ||||
\(950\) | 24.3795 | + | 14.0755i | 0.790976 | + | 0.456670i | ||||
\(951\) | −3.28013 | + | 3.03541i | −0.106365 | + | 0.0984298i | ||||
\(952\) | −1.91801 | −0.0621630 | ||||||||
\(953\) | −0.394852 | − | 0.683904i | −0.0127905 | − | 0.0221538i | 0.859559 | − | 0.511036i | \(-0.170738\pi\) |
−0.872350 | + | 0.488882i | \(0.837405\pi\) | |||||||
\(954\) | −17.6331 | + | 49.9657i | −0.570892 | + | 1.61770i | ||||
\(955\) | 10.4536 | − | 39.0135i | 0.338271 | − | 1.26245i | ||||
\(956\) | 2.00808 | − | 0.538063i | 0.0649459 | − | 0.0174022i | ||||
\(957\) | −16.6366 | − | 73.3392i | −0.537785 | − | 2.37072i | ||||
\(958\) | 46.8444 | 1.51347 | ||||||||
\(959\) | −4.66535 | − | 8.08063i | −0.150652 | − | 0.260937i | ||||
\(960\) | 0.983126 | − | 3.17223i | 0.0317302 | − | 0.102383i | ||||
\(961\) | 43.3900 | − | 25.0512i | 1.39968 | − | 0.808103i | ||||
\(962\) | 0.563762 | − | 12.8345i | 0.0181764 | − | 0.413802i | ||||
\(963\) | 4.17418 | − | 53.7804i | 0.134511 | − | 1.73305i | ||||
\(964\) | 4.22217 | − | 1.13133i | 0.135987 | − | 0.0364376i | ||||
\(965\) | − | 52.6766i | − | 1.69572i | ||||||
\(966\) | −17.6384 | − | 11.1157i | −0.567506 | − | 0.357641i | ||||
\(967\) | 17.6733 | − | 4.73555i | 0.568336 | − | 0.152285i | 0.0368027 | − | 0.999323i | \(-0.488283\pi\) |
0.531533 | + | 0.847037i | \(0.321616\pi\) | |||||||
\(968\) | 21.7646 | − | 21.7646i | 0.699541 | − | 0.699541i | ||||
\(969\) | −1.91728 | + | 6.18645i | −0.0615920 | + | 0.198738i | ||||
\(970\) | 46.6638 | + | 12.5035i | 1.49829 | + | 0.401464i | ||||
\(971\) | 28.2340 | − | 16.3009i | 0.906072 | − | 0.523121i | 0.0269071 | − | 0.999638i | \(-0.491434\pi\) |
0.879165 | + | 0.476517i | \(0.158101\pi\) | |||||||
\(972\) | −17.3145 | + | 5.92965i | −0.555362 | + | 0.190194i | ||||
\(973\) | −1.95256 | − | 7.28704i | −0.0625961 | − | 0.233612i | ||||
\(974\) | 9.58249 | + | 16.5974i | 0.307043 | + | 0.531814i | ||||
\(975\) | 31.1061 | − | 14.6811i | 0.996193 | − | 0.470171i | ||||
\(976\) | −25.9428 | + | 44.9343i | −0.830410 | + | 1.43831i | ||||
\(977\) | 56.4010 | + | 15.1126i | 1.80443 | + | 0.483495i | 0.994655 | − | 0.103250i | \(-0.0329241\pi\) |
0.809772 | + | 0.586745i | \(0.199591\pi\) | |||||||
\(978\) | 0.689869 | − | 17.8034i | 0.0220596 | − | 0.569290i | ||||
\(979\) | −80.7617 | − | 46.6278i | −2.58115 | − | 1.49023i | ||||
\(980\) | 2.69110 | − | 2.69110i | 0.0859641 | − | 0.0859641i | ||||
\(981\) | 6.64394 | − | 18.8265i | 0.212125 | − | 0.601083i | ||||
\(982\) | −18.1286 | − | 4.85755i | −0.578508 | − | 0.155011i | ||||
\(983\) | −4.70879 | + | 17.5734i | −0.150187 | + | 0.560505i | 0.849283 | + | 0.527939i | \(0.177035\pi\) |
−0.999470 | + | 0.0325669i | \(0.989632\pi\) | |||||||
\(984\) | 2.37145 | + | 0.0918921i | 0.0755991 | + | 0.00292941i | ||||
\(985\) | −3.58134 | + | 2.06769i | −0.114111 | + | 0.0658820i | ||||
\(986\) | −4.61906 | + | 17.2386i | −0.147101 | + | 0.548987i | ||||
\(987\) | −10.1352 | + | 16.0825i | −0.322607 | + | 0.511913i | ||||
\(988\) | 2.62533 | + | 11.8569i | 0.0835228 | + | 0.377218i | ||||
\(989\) | 15.0502i | 0.478568i | ||||||||
\(990\) | 74.3607 | − | 63.6491i | 2.36334 | − | 2.02290i | ||||
\(991\) | 3.79719 | − | 6.57692i | 0.120622 | − | 0.208923i | −0.799391 | − | 0.600811i | \(-0.794845\pi\) |
0.920013 | + | 0.391888i | \(0.128178\pi\) | |||||||
\(992\) | 26.6162 | − | 46.1006i | 0.845065 | − | 1.46370i | ||||
\(993\) | 2.92693 | − | 9.44427i | 0.0928835 | − | 0.299705i | ||||
\(994\) | 9.13990 | + | 9.13990i | 0.289900 | + | 0.289900i | ||||
\(995\) | −42.8122 | − | 42.8122i | −1.35724 | − | 1.35724i | ||||
\(996\) | −14.2595 | − | 15.4091i | −0.451828 | − | 0.488256i | ||||
\(997\) | −0.748462 | + | 1.29637i | −0.0237040 | + | 0.0410566i | −0.877634 | − | 0.479331i | \(-0.840879\pi\) |
0.853930 | + | 0.520388i | \(0.174213\pi\) | |||||||
\(998\) | −32.9425 | + | 57.0580i | −1.04278 | + | 1.80614i | ||||
\(999\) | 1.50784 | + | 10.2821i | 0.0477060 | + | 0.325311i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.ew.a.176.20 | ✓ | 336 | |
9.2 | odd | 6 | 819.2.fy.a.722.20 | yes | 336 | ||
13.2 | odd | 12 | 819.2.fy.a.743.20 | yes | 336 | ||
117.2 | even | 12 | inner | 819.2.ew.a.470.20 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.20 | ✓ | 336 | 1.1 | even | 1 | trivial | |
819.2.ew.a.470.20 | yes | 336 | 117.2 | even | 12 | inner | |
819.2.fy.a.722.20 | yes | 336 | 9.2 | odd | 6 | ||
819.2.fy.a.743.20 | yes | 336 | 13.2 | odd | 12 |